Question

URGENT! The diagonal of a rectangle has length 15. If the base of the rectangle is 12, find the height.

Answer 1

Answer: Height =9

Explanation:

Given: The diagonal of a rectangle has length 15.

Base of the rectangle is 12.

Since each angle in a rectangle is 90°°.

Therefore , th triangle formed by joining diagonal with base and hight is a right triangle.

In right triangle ,
`Hypotenuse^2=Perpendicular ^2+base^2` [Pythagoras theorem]

`\Rightarrow\ 15^2=heigt^2+12^2\\\\\Rightarrow\ height^2= 15^2-12^2\\\\\Rightarrow\ height^2= 225-144\\\\\Rightarrow\ height^2= 81\\\\\Rightarrow\ height=9`

Hence, the height =9