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Chapter 11: Q16. (page 431)

Find the area of each figure:

An equilateral triangle with height9

Short Answer

Expert verified

The area of given figure is 273square units.

Step by step solution

01

Step 1. Given information.

An equilateral triangle with height 9

Here, h=9

02

Step 2. Find the side of triangle.

We can use Pythagorean Theorem.

Pythagorean Theorem define that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

H2=P2+B2

a2=h2+a22

a2-a24=h2

3a24=h2

3a24=h23a2=4h2

a=23h

a=23脳9

a=63

03

Step 3. Find the area of given figure.

A=34a2

=34(63)2

=10834

=273Square units.

Therefore, the area of given figure is273square units.

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