Question

In a triangle and parallelogram has the same base and the same area if the side if the triangle are 26cm,28cm and 30cm and the parallelogram stands on the base 28 cm .find the height of the parallelogram?

Answer 1

first of all we find area of triangle
given =hypotenuse =30cm
base=28cm
hieght=26cm
we know that area of triangle
$=1 \div 2 \times base \times hieght$
we have base and height so put the given number in this formula.
$1 \div 2 \times 26 \times 28 = 364$
area of parallalelogram
$= base \times hieght$
so put the given number in this formula
$= 28 \times hieght$
area of parallelogram =area of triangle


$28 \times hieght = 364 \\ hieght = 364 \div 28 \\ hieght = 13$