The area of a triangle with the given base and height is 9.5625 square inches.
What is the area of a triangle?
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
From the given triangle, height is 2.5 inches.
By using Pythagoras theorem,
3²=x²+2.5²
9=x²+6.25
x²=9-6.25
x²=2.75
x=1.65 inches
So, the base = 6+1.65=7.65 inches
Area of a triangle = 1/2 ×7.65×2.5
= 0.5×7.65×2.5
= 9.5625 square inches.
Therefore, the area is 9.5625 square inches.