## Does 20 21 and 29 make a right triangle

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The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle.

One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61).

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## How do you find an angle of a triangle with 3 sides

To solve an SSS triangle:use The Law of Cosines first to calculate one of the angles.then use The Law of Cosines again to find another angle.and finally use angles of a triangle add to 180° to find the last angle.

## What is the sum of all 3 sides of a triangle

No matter how you position the three sides of the triangle, the total degrees of all interior angles (the three angles inside the triangle) is always 180°. This property of a triangle’s interior angles is simply a specific example of the general rule for any polygon’s interior angles.

## How do you find the third side of a triangle given two sides

This means we are given two sides and one angle that is not the included angle. In this case, use The Law of Sines first to find either one of the other two angles, then use Angles of a Triangle to find the third angle, then The Law of Sines again to find the final side.

## Does 20 25 and 15 make a right triangle

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle.

## Does 12 35 37 Make a right triangle

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal. Because these are equal this is a right triangle.

## Does 6 8 and 10 make a right triangle

2 Answers. They are equal, and thus, the triangle is a right triangle. … These sides are 6: 8: 10, then the triangle is a right one.

## How do you find the side length of a right triangle

FAQIf you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.If you have the non-hypotenuse side adjacent to the angle, divide it by cos(θ) to get the length of the hypotenuse.More items…

## How do I find the missing side length of a triangle

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

## What are the lengths of a 30 60 90 Triangle

The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.

## What are the side lengths of a 45 45 90 Triangle

The 45 45 90 triangle theorem states that 45 45 90 special right triangles that have sides of which the lengths are in a special ratio of 1 : 1 : 2 1:1:\sqrt{2} 1:1:2 and two 4 5 45 45° angles and one right angle of 9 0 90 90°.

## Which Triangle is a 30 60 90 Triangle

A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.

## How do you know if 3 sides make a right triangle

To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side. In other words, check if it works with the Pythagorean theorem: Does 32+42 equal 62 ? Since 25 isn’t 36 the triangle is not a right triangle.

## What 3 numbers can form a right triangle

Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle. Example 3: Determine if the following lengths are Pythagorean Triples. Solution: Plug each set of numbers into the Pythagorean Theorem. Yes, 7, 24, 25 is a Pythagorean Triple and sides of a right triangle.

## Does 4 5 6 make right triangles

If you multiply the sides by any number, the result will still be a right triangle whose sides are in the ratio 3:4:5. For example 6, 8, and 10.

## What is the 3 4 5 Triangle rule

A 3-4-5 right triangle is a triangle whose side lengths are in the ratio of 3:4:5. In other words, a 3-4-5 triangle has the ratio of the sides in whole numbers called Pythagorean Triples. This ratio can be given as: Side 1: Side 2: Hypotenuse = 3n: 4n: 5n = 3: 4: 5.

## What is the longest side of a right triangle called

hypotenuseThe hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

## Does 9 12 and 15 make a right triangle

Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

## What do the sides of a right triangle add up to

Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary). … The side opposite the right angle is called the hypotenuse.

## Does 5 12 and 13 form a right triangle

The best known triple is 3-4-5, with 5-12-13 being the next most recognized. Any triangle composed of sides of lengths that match the Pythagorean triple will be a right triangle. That means our triangle has a 90 degree angle for angle C.

## Does 4 5 6 represent a Pythagorean triple

Explanation: For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple.

## Does 10 24 26 Make a right triangle

The square root of 676 is 26, so the perimeter of the right triangle is 10 + 24 + 26 = 60. We could also have noticed that the right triangle is similar to a 5-12-13 right triangle with a dilution ratio of 2, since the 10-24 sides are twice the length of the 5-12 sides.

## How do you determine a right triangle

Right Triangles and the Pythagorean TheoremThe Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.The side opposite the right angle is called the hypotenuse (side c in the figure).More items…

## What is the rule for the third side of a triangle

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

## Does 2 15 17 form a right triangle

If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle. In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc.

## What is the area of 10 8 and 6

The area is given by where s is the semi-perimeter equal to , a = 6, b = 8 and c = 10. The area of the triangle is equal to = 24 cm^2.

## What is the rule for side lengths of a triangle

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

## Why do we justify 5 7 9 Pythagorean triplets

Answer: No 5 7 9 isn’t a Pythagorean template. because square of 5 and 7= 25+49=74 and square of 9 is 81. that’s why 5 7 9 is not a Pythagorean triplate.