Answer:
45 square units.
Step-by-step explanation:
Applying the pythagoras theorem:
Base of the bigger triangle = [tex]\sqrt{15^2 - 9^2}[/tex] = [tex]\sqrt{144}[/tex] = 12 units
Area of a triangle is given by [tex]\frac{1}{2}[/tex] × base × height
The area of the bigger triangle is [tex]\frac{1}{2}[/tex] × 12 × 9 = 54 square units.
The area of the smallest triangle is [tex]\frac{1}{2}[/tex] × (12 - 10) × 9 = 9 square units.
The area of the figure( required triangle) is 54 - 9 = 45 square units.
