Question

Area of a right angled triangle is 30 cm2. If its smallest side is 5 cm,
then its hypotenuse is ____

Answer 1

Answer:

This is the answer for your

Step-by-step explanation:

To find:If its smallest side is 5cm, then will be hypotenuse= 13cm

Answer 2

Answer:

Hypotenuse = 13 cm

Step-by-step explanation:

Smallest side (Base) = 5cm

Area of right angled triangle = $\sf \dfrac{1}{2}\times base \times height$

$\sf \dfrac{1}{2} \times 5 \times height = 30 \\ \\ \sf \: height = 12 \: cm$

Using Pythagoras Theorem,

$\tt \: hypotenuse^{2} = {base}^{2} + {perpendicular}^{2}$

$\tt{hypotenuse}^{2} = 25 + 144 {cm}^{2} \\ \\\tt hypotenuse = \sqrt{169 \: {cm}^{2} } \\ \\ \tt \: hypotenuse = 13 \: cm$

Hope it helps