Question

If the area of triangle A with sides 5, 12, and 13 equals the area of rectangle B with height 5, what is the perimeter of the rectangle ?

Answer 1

Explanation:

Since the sides are in the ratio 5:12:13 and the perimeter is 90 cm, we can determine the length of the sides as follows:

5x + 12x + 13x = 90 cm

30x = 90 cm

x = 3 cm

So the sides of the triangle are 15 cm, 36 cm, and 39 cm. The 39 cm side is the hypotenuse, so the area is:

Area = (1/2)*Base*Height = (1/2)*(15)*(36) = 270 cm2