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Chapter 11: Q10. (page 431)

Find the area of each figure:

An isosceles triangle with base10and Perimeter 36 .

Short Answer

Expert verified

The area of given figure is 60 square units.

Step by step solution

01

Step 1. Given information.

Base b=10 and Perimeter is 36.

02

Step 2. Analyze the given information.

Ifb=10and Perimeter is 36 ,

Then, the sum of other two sides of triangle=36鈭�10=26

Since isosceles triangles have two sides equal.

So, we get equal sides=262=13

03

Step 3. Find the height of triangle.

We can use Pythagoras 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.

132=52+P2

P2=169鈭�25

P2=144

P=12

04

Step 4. Find the area of given figure.

Area of triangle can be found using the formula

A=12bh

Where,

b= Base of atriangleand h= Height of atriangle

A=12脳10脳12

=5脳12

=60 Square units.

Therefore, the area of given figure is 60 square units.

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