Question

A rectangle has a diagonal of length 10 cm and a base of length 8 cm . Find its height

Answer 1

Given:

The length of diagonal of rectangle is d = 10 cm.

The length of base is b = 8 cm.

Step-by-step explanation:

The relation between length, height and diagonal of rectangle is given by pythagoras theorem. So

`d^2=l^2+h^2`

Substitute the values in the equation to obtain the value of h.

`\begin{gathered} (10)^2=(8)^2+h^2 \\ 100=64+h^2 \\ h=\sqrt[]{100-64} \\ =\sqrt[]{36} \\ =6 \end{gathered}`

So the height of rectangle is 6 cm.

Answer: 6 cm