What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm? (round to nearest tenth)
Accepted Solution
A:
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the area of a equilateral triangle and clear the side of the triangle (s):
A=(√3)s²/4 s²=4A/√3 s²=(4x270.633 cm²)/4 s²=625 cm² s=√625 cm² s=25 cm
2. Now, you can find the radius (r) of the circle by applying the following formula: