Question

A right triangle has an area of 364.5cm^2. If its base is 27cm then whats the height?

Answer 1

27 cm

Step-by-step explanation

let x represents the missing side.

the area of a triangle is given by:

`\text{Area}=(base\cdot heigth)/(2)`

then

Let

base=27 cm

Area=364.5 square cm

heigth=x

replace,

`\begin{gathered} \text{Area}=(base\cdot heigth)/(2) \\ \text{346.5}=(27x)/(2) \\ \text{Multiply both sides by 2} \\ \text{346.5}\cdot2=(27x)/(2)\cdot2 \\ 729=27x \\ \text{divide both sides by 27} \\ (729)/(27)=(27x)/(27) \\ 27=x \end{gathered}`

Hence, the heifht is 27 cm