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Chapter 11: Q6. (page 431)

Find the area of each figure:

Short Answer

Expert verified

The area of given figure is12 square units.

Step by step solution

01

Step 1. Given information.

The sides of triangle are given 5,5and6 .

02

Step 2. Concept used.

Area of triangle can be found using the formula

A=12bh

Where,

b=Base of a triangle and h=Height of a triangle

03

Step 3. Find the Height of a 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.

Using Pythagorean Theorem in鈻�ABD

AB2=BD2+AD2

52=32+AD2

25=9+AD2

AD2=16

AD=4

04

Step 4. Find the area of given figure.

Area of the triangle

A=12bh

=12脳6脳4

=12 Square units.

Therefore, the area of given figure is 12square units.

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