Question

a triangle and a parallelogram have the same based and same area if the side of the triangle are 26 cm 28 cm and 30cm and the parallogram stand on the base 28cm find the height of the parallogram.​

Answer 1

Answer:

12 cm

Step-by-step explanation:

The area of triangle can be found with Heron's formula since all sides are known:

• A= √s(s-a)(s-b)(s-c)

where s=(a+b+c)/2, and a, b, c are sides of triangle

Applying the formula:

• s=(a+b+c)/2=(26+28+30)/2=42

• A=√s(s-a)(s-b)(s-c)= √42*16*14*12=336 cm²

The area of parallelogram= 28h  (base=28 cm and h is height)

Since the area of parallelogram is same as the area of the triangle= 336 cm²,

• h=336/28= 12 cm

Answer is 12 cm

Answer 2

Hope it help you please mark as brilliant

Have a great day ☺️