Question

3 If the area of a right triangle is 10 cm' and one of the legs is 4 cmn, find the length of the other leg ) A 2.5 cm B 5 cm 10 cm 20 cm

Answer 1

the formula for the area of a triangle is

`A=b\cdot(h)/(2)`

then if we have a right triangle it would look like this

in a right triangle the base and the heigth are represented by the legs

using the leg given and the area we can find the other leg

`\begin{gathered} A=(b\cdot h)/(2) \\ 10=(4\cdot x)/(2) \\ 2\cdot10=4\cdot x \\ 4x=20 \\ x=(20)/(4) \\ x=5 \end{gathered}`

the length of the other leg is 5 cm.