High School

One leg of a right triangle is 21 centimeters long. The hypotenuse of the triangle is 29 centimeters long. What is the length of the unknown leg?

A. 7.1 cm
B. 16 cm
C. 20 cm
D. 35.8 cm

Answer :

To find the length of the unknown leg in a right triangle, we can use the Pythagorean theorem. By substituting the given values into the equation, we can solve for the unknown leg. In this case, the length of the unknown leg is 29 centimeters.

In this problem, we have a right triangle with one leg measuring 21 centimeters and the hypotenuse measuring 29 centimeters. We can use the Pythagorean theorem to find the length of the unknown leg.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs.

So, we can write the equation as follows:

212 + x2 = 292

Solving for x, we have:

x2 = 292 - 212

x2 = 841

x = √841

x = 29 centimeters

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

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