Question

​ △BCD ​ is a right triangle. The length of the hypotenuse is 18 cm. The length of one of the legs is 14 cm.

What is the length of the other leg?

Enter your answer in the box as a decimal rounded to the nearest tenth.

cm

Answer 1

Explanation:

Yes and to round it to the nearest tenth it would be 11.3

Answer 2

11.31 cm

Explanation:

Given : ​ △BCD ​ is a right triangle. The length of the hypotenuse is 18 cm. The length of one of the legs is 14 cm.

To Find :What is the length of the other leg?

Solution:

Hypotenuse = 18 cm

Length of One leg (perpendicular) = 14 cm

We will use Pythagorean theorem

`Hypotenuse^(2) = Perpendicular^(2) +Base^(2)`

`18^(2) = 14^(2) +Base^(2)`

`18^(2) -14^(2) =Base^(2)`

`324 -196 =Base^(2)`

`128=Base^(2)`

`√(128)=Base`

`11.31=Base`

Hence the length of other leg is 11.31 cm