△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 an…

Question

asked Jul 17, 2019 79.2k views

2 Answers

Jiaying · Answer 1 · 2019-07-24T06:24:47+0000

Answer:

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.