Question

an isoceles triangle has two sides of length 40 and a base of length 48. A circle circumscribes the triangle. What is the radius of the circle

Answer 1

25

Explanation:

To find the radius of the circle that circumscribes the isosceles triangle, we can use the formula for the circumradius of a triangle:

R = (abc)/(4A)

the area of the an isoceles triangle = 1/2 base * height

height is the sqrt of [40²- (48/2)²]

so height = 32

so area = 768

sor R = 40*40*48/768 =25