Question

A triangle and a parallelogram have the same area .The sides of the triangle are 48cm, 20cmand52cm. The base of the parallelogram is 20cm.Find (1) the area of triangle using herons formula. (2) the height of the parallelogram

Answer 1

Answer:24 cm

Step-by-step explanation:

here we will use herons formula to find the area of the triangle

By Heron's Formula,

area = √s(s-a)(s-b)(s-c),s = a+b+c/2

s = 48+20+52/2

s = 120/2

s = 60

area = √60 × 12 × 40 × 8

= √2 × 2 × 3 × 3 × 5 × 5 × 2 × 2 × 2 × 2 × 2 × 2 ×2 × 2

= 2 × 2 × 2 × 2 × 2 × 3 × 5

= 480 cm²

area of parallelogram = base × height

so height = A/b

 = 480/20 cm

= 24 cm(ans)

hope it helped you out!!!!!