Question

What radius of a circle is required to inscribe an equilateral triangle with an area of 35.074 in2 and an altitude of 7.794 in? (round to nearest tenth) A) 4.8 in B) 5.0 in C) 5.2 in D) 6.0 in

Answer 1

Answer:

(C) r=5.2 in

Step-by-step explanation:

firstly, we will draw diagram

we know that

centroid divides altitude into 2:1 form

so, we get

$r=\frac{2}{3}\times h$

now, we can plug

h=7.794

$r=\frac{2}{3}\times 7.794$

$r=5.196in$

so, option-C...............Answer