Question

A parallelogram and a triangle on the same base and between the same parallels. If the area of the triangle is 17 cm square then find the area of the parallelogram ​

Answer 1

Answer:

A parallelogram and a triangle on the same base and between the same parallels. If the area of the triangle is 17 cm square then find the area of the parallelogram

Answer 2

Step-by-step explanation:

Perimeter of Triangle

2S=26+28+30=84

⇒S=42cm

Area

s(s−a)(s−b)(s−c)

(Heron's formula)

Area =

42(42−26)(42−28)(42−30)

=

42×16×14×12

Area=336cm

2

Area of parallelogram = Area of triangle

⇒ h×28=336

⇒h=12cm

Height of parallelogram =12cm