Question

How to find the area of this figure

Answer 1

45 square units.

Explanation:

Applying the pythagoras theorem:

Base of the bigger triangle =
`√(15^2 - 9^2)` =
`√(144)` = 12 units

Area of a triangle is given by
`(1)/(2)` × base × height

The area of the bigger triangle is
`(1)/(2)` × 12 × 9 = 54 square units.

The area of the smallest triangle is
`(1)/(2)` × (12 - 10) × 9 = 9 square units.

The area of the figure( required triangle) is 54 - 9 = 45 square units.