Question

A triangle and a parallelogram have the same base and the same area. If the sider
the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the
28 cm, find the height of the parallelogram.​

Answer 1

Answer:

12cm is the answer

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

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