Question

What is the value of one of the legs of a triangle if the other leg is 8 and the hypotenuse is 10?

Answer 1

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

-64 -64

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a² = 36

√a = √36

a = 6

One of the legs of the triangle is 6.

Answer 2

The value of the other leg of the triangle is 6.

Step-by-step explanation:

The Pythagorean theorem relates the length of the legs of a right triangle, labeled a and b, with the hypotenuse, labeled c. The relationship is given by: a² + b² = c². In this case, we are given that one leg of the triangle is 8 and the hypotenuse is 10. We can use the Pythagorean theorem to find the value of the other leg as follows:

Solving for a:

a² + 8² = 10²

a² + 64 = 100

a² = 100 - 64

a² = 36

a = √36

a = 6

Therefore, the value of the other leg of the triangle is 6.