Question

In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.

Answer 1

CE = 7.2

Explanation:

Area = 1/2bh

6 = 1/2 (b)(4)

6 = 2b

3 = b b represent AB, so BC and CD is 3 unit also

Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x

The figure is a right triangle so you know that a² + b² = c²

4² + 6² = x²

16 + 36 = x²

52 = x²

`√(52 )` = x

7.211 ≈ 7.2 = CE