Question

A triangle and a parallelogram have the same base and the same area if the sides of a triangle are 26 CM 28 cm and 30 cm and the parallelogram stands on the base 28 cm find the height of the parallelogram​

Answer 1

Answer:12 cm

Step-by-step explanation:

by herons formula,

area of triangle = √s(s-a)(s-b)(s-c),s = a+b+c/2

s = 84/2

= 42

area = √42 × 12 × 14 × 16

= √2 × 3 × 7 × 2 × 2 × 3 × 2 × 7 × 2 × 2 × 2 × 2

= 2 × 2 × 2 × 3 × 7

336 cm²

they have the same area

so area of the parallelogram = 336 cm²

height of a parallelogram = area/base

= 336/28

= 12 cm(ans)

hope it helped you out!!!