Question

Question 4. A triangle and a parallelogram have the same base and the same area. If the sides of
the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find
the height of the parallelogram.
30 cm
26 cm
28 cm​

Answer 1

Answer:

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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