Question

The hypotenuse of a triangle is $$2.5$$cm. If one of the sides is $$1.5$$cm, find the length of the other side.

Answer 1

By Pythagoras theorem, we know

$$(\text{Hypotenuse})^2=(\text{Base})^2+(\text{Height})^2$$

Here, Hypotenuse $$=2.5\space\mathrm{cm}$$ and Base $$=1.5\space\mathrm{cm}$$

So, $$c^2=a^2+b^2$$

$$\Rightarrow 2.5^2=1.5^2+b^2$$

$$\Rightarrow 6.25=2.25+b^2$$

$$\Rightarrow b^2=6.25-2.25$$

$$\Rightarrow b^2=4$$

$$\Rightarrow b=\sqrt 4$$

$$\Rightarrow b=2$$

$$\therefore$$ Length of the other side $$=2\space\mathrm{cm}$$