Question

Construct a right-angle triangle whose hypotenuse is 6cm long and one of the legs is 4cm long​

Answer 1

Answer:

The other leg will be √20 cm or 4.5 cm long.

Step-by-step explanation:

Let the perpendicular be 4cm long.

Therefore, according to Pythagoras theorem,

${h}^{2} = {b}^{2} + {p}^{2} \\ b = \sqrt{ {h}^{2} - {p}^{2} } \\ b = \sqrt{36 - 16} \\ b = \sqrt{20} \: cm$

Hence the other leg would be √20 cm long or 4.5 cm long.