Question

​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters. What is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

the answer is 13.8.

Explanation:

Answer 2

Hence,

Length of the other leg is 13.8 cm.

Explanation:

​ △BCD ​ is a right triangle.

The length of the hypotenuse is 19 centimeters.

The length of one of the legs is 13 centimeters.

To find: Length of the other leg. ( Let us denote the length by l)

We will apply Pythagorean Theorem to find the length of the other leg.

Pythagorean theorem states that square of the side of hypotenuse is equal to the sum of square of the other two sides.

Hence,

`19^2=13^2+l^2\\\\361=169+l^2\\\\361-169=l^2\\\\l^2=192\\\\l=13.8cm`

Hence,

Length of the other leg is 13.8 cm.