`A B C D` is a trapezium in which `A B D Cdot` If `a r( A B D)=24\ c m^2a n d\ A B=8\ c m ,` then height of ` A B C` is 3 cm (b) 4 cm (c) 6 cm (d) 8 cm

Explanation

Given: ABCD is a trapezium in which AB=8 cm and ar(`triangleABD`)=`24cm^2`

Solution: Here we can see that, In `triangleADB` and `triangleACB` are on same base.

Hence, ar(`triangleACB`)=ar(`triangleADB`)

ar(`triangleACB`)=`24`

`1/2(8xxh)`=`24`

`h=6 cm`

Hence, option(c) is correct.