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natka813 [3]
3 years ago
12

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

Mathematics
1 answer:
AlekseyPX3 years ago
4 0

Answer: Height =9

Step-by-step 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

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