The area of the largest triangle inscribed in a semicircle of radius 18 cm is
Answers
Answered by
10
Heya User,
Clearly, we have to take the Largest Area possible in the semi-circle...
So,
--> We take the Base of the Δ as the dia. of the semi-circle...
Now, since, we have to find the maximum Area,
--> Height of the Δ --> h is to be considered the greatest....
--> This is possible only for an isosceles Δ with height = radius.
.'. Area of the Δ = 1/2 * 2r * r = r² = 324cm²
Clearly, we have to take the Largest Area possible in the semi-circle...
So,
--> We take the Base of the Δ as the dia. of the semi-circle...
Now, since, we have to find the maximum Area,
--> Height of the Δ --> h is to be considered the greatest....
--> This is possible only for an isosceles Δ with height = radius.
.'. Area of the Δ = 1/2 * 2r * r = r² = 324cm²
Similar questions