Question

Find the
14. A triangle and a parallelogram have the same base and the same area. If the sides of the
triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find
the height of the parallelogram.​

Answer 1

Answer:

as the area of triangle and parallelogram are the same

Step-by-step explanation:

using herons formula calculating the area of triangle we get,

semiperimeter = 13+14+15/2  == 21

therefore substituting the values in herons formula we get,

$\sqrt{21(21-13)(21-14)(21-15)}$ = area of triangle

area of triangle = 84 cm^2

area of parallelogram = base * height

as area of triangle and parallelogram are equal

84 = base * height

84 = 14 * h

h = 6 cm

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