Question

In ΔABC, AC = BC side CD is the median of side AB with d belonging to side AB,AB = 4 in and CD = sqaure root of 3 in. find AC.

Answer 1

AC = √7 in

Explanation:

ΔABC is isosceles, so ΔADC is a right triangle with AD = 2 in and CD = √3 in. The length of hypotenuse AC is found using the Pythagorean theorem.

... AC² = AD² +CD² = (2 in)² +(√3 in)² = (4 +3) in²

... AC = √7 in . . . . take the square root