Question

find the height of a trapezium if the sum of the lengths of the parallel sides is 39cm and whose area is 234cm²​

Answer 1

h = 12 cm

Explanation:

The area (A) of a trapezium is calculated as

A =
`(1)/(2)` h ( sum of parallel bases )

Here A = 234 and sum of bases = 39 , then

`(1)/(2)` h × 39 = 234 ( divide both sides by 39 )

`(1)/(2)` h = 6 ( multiply both sides by 2 to clear the fraction )

h = 12

Answer 2

the answer according to my calculations will be 12

Explanation:

the formula of area of trapezium is A=a+b÷2×h

and if we wanna solve for h

h=2 A÷ a+b

h=2 (234)÷39

after calculations...

h= 12

hope it helps:)