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Chapter 11: Q9. (page 431)

Find the area of each figure:

Short Answer

Expert verified

The area of given figure is 30 square units.

Step by step solution

01

Step 1. Given information.

The sides of triangle are5,12and 13 .

i.e. a=5,b=12and

02

Step 2. Concept used.

Area of triangle can be found using the Heron鈥檚 formula

A=s(s鈭�a)(s鈭�b)(s鈭�c)

Where,

Semi perimeter s=12(a+b+c)

03

Step 3. Find the semi perimeter.

s=12(a+b+c)

=12(5+12+13)

=12(30)

=15

04

Step 4. Find the area of given figure.

Calculation:A=s(s鈭�a)(s鈭�b)(s鈭�c)

=15(15鈭�5)(15鈭�12)(15鈭�13)

=15(10)(3)(3)

=100

=30 Square units.

Therefore, the area of given figure is 30 square units.

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