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Chapter 11: Q6. (page 431)

Find the area of each figure:

An isosceles triangle with sides10,10,16

Short Answer

Expert verified

The area of given figure is48 square units.

Step by step solution

01

Step 1. Given information.

The sides of triangle are10,10,16 .

02

Step 2. Concept used.

Area of triangle can be found using the formula

A=12bh

Where,

b= Base of a triangle andh= Height of a triangle

03

Step 3.  Find the Height 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.

Thus, the height of a triangle can be found as

102=P2+82

P2=100鈭�64

P2=36

P=6

04

Step 4. Find the area of given figure.

A=12bh

=12脳16脳6

=8脳6

=48 Square units.

Therefore, the area of given figure is48 square units.

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