Question

area of a Trapezium is 1350 square the sum of the length of its parallel sides is 3 times the height find the height​

Answer 1

solution for this question

Answer 2

The Height of trapezium is 30 cm

Step-by-step explanation:

Let the height of trapezium be h

We are given that  the sum of the length of its parallel sides is 3 times the height

Sum of parallel sides = 3h

Area of trapezium =$\frac{1}{2} \times (\text{Sum of parallel sides}) \times Height$

Area of trapezium = $\frac{1}{2} \times 3h \times h$

We are given that area of a Trapezium is 1350 m^2

So,$\frac{1}{2} \times 3h \times h =1350$

$3h^2=1350 \times 2$

$h^2=\frac{1350 \times 2}{3}$

$h=\sqrt{\frac{1350 \times 2}{3}}$

h=30

Hence The Height of trapezium is 30 cm

#Learn more:

Find the height of trapezium if its area is 156m square and sum of parallel sides is 39m

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