Question

The area of a trapezium is 156cm2, the parallel sides are 17cm and 35cm respectively. What is the height of the trapezium​

Answer 1

6cm

Explanation:

To find:-

• The height of the trapezium.

Answer:-

We are here given that the area of the trapezium is 156cm² and two of the parallel sides are 17cm and 35cm .We are interested in finding out the height of the trapezium.

The area of the trapezium is given by the formula,

`:\implies \sf Area =(1)/(2)* (s_1+s_1)* h \\`

where s1 and s2 are the || sides of the trapezium and h is the height of the trapezium.

Now on substituting the respective values in the given formula, we have;

`:\implies \sf 156cm^2 =(1)/(2) (17cm+35cm)* h \\`

`:\implies \sf 156cm^2(2) = 52cm (h) \\`

`:\implies \sf h =(156(2))/(52) cm\\`

`:\implies \sf \pink{ height = 6 cm }\\`

Hence the height of the trapezium is 6cm .

Answer 2

6 cm

Explanation:

You want the height of a trapezium with bases 17 cm, 35 cm and area 156 cm².

Area formula

The formula for the are of a trapezium is ...

A = 1/2(b1 +b2)h

Filling in the given values, we have ...

156 = 1/2(17 +35)h = 26h

6 = h . . . . . . . . . . divide by 26

The height of the trapezium is 6 cm.