Question

Find the area of a square whose diagonal is 24 cm

Answer 1

Answer: 288

Step-by-step explanation: in the triangle ABC you apply the Pythagorean theorem AC = sqrt(AB^2+BC^2) since this is a square so you have ab=ac which turn to 24= sqrt(2AB^2) <=> 24 = AB* sqrt(2)

<=> AB= 24/sqrt(2) <=> AB=12* sqrt(2) <=> the area = (12*sqrt(2))^2=288

Answer 2

Area = 288 cm²

Explanation:

• Find the area of a square whose diagonal is 24 cm

Area = L²

or

Area = D² : 2

Area = 24²:2

Area = 576 : 2

Area = 288 cm²