Question

a triangle and a parallelogram have the same base and the same area. if the sides of the triangle are 18 cm, 24 cm and 30 cm, and the parallelogram stands on the base 24 cm, find the height of the parallelogram

Answer 1

Answer:

Height of the parallelogram is 9 cm

Step-by-step explanation:

Let height be h

If a parallelogram and triangle have same base between same parallel lines then area of parallelogram=1/2 × area of triangle

Area of parallelogram = base × height

= 24 × h

= 24h

The triangle having measures as 18 cm,24cm,30cm is a right angled triangle because,

30^2=18^2+24^2

By converse of Pythagoras theorem this triangle is a right angled triangle

Area of this right angled triangle

=1/2 × 18 × 24

=216

Area of parallelogram=1/2 × area of triangle

24h=216

h = 9 cm

So height of the parallelogram is 9 cm