Question

Find the height of ABD

Answer 1

`Height=\boxed{10√(2)}`

`Area =\boxed{165√(2)}`

Explanation:

By geometric mean theorem:

`AC=√(25* 8)`

`AC=√(5^2 * 2^2 * 2)`

`AC=5* 2√(2)`

`AC=10√(2)`

So,

`Height=\boxed{10√(2)}`

`Area = (1)/(2) * base* height`

`\therefore Area = (1)/(2) * (25+8)* 10√(2)`

`\therefore Area =33* 5√(2)`

`Area =\boxed{165√(2)}`