Q6. - Geometry

Question

Find the area of each figure:

An isosceles triangle with sides $10,10,16$

Step-by-Step Solution

Answer

The area of given figure is48 square units.

Step 1. Given information.

The sides of triangle are$10,10,16$ .

Step 2. Concept used.

Area of triangle can be found using the formula 

$A=\frac{1}{2}bh$

Where, 

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

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

${10}^2=P^2+8^2$

$P^2=100-64$

$P^2=36$

$P=6$

Step 4. Find the area of given figure.

$A=\frac{1}{2}bh$

     $=\frac{1}{2}\times 16\times 6$

     $=8\times 6$

  $=48$    Square units.

Therefore, the area of given figure is48 square units.