Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.

Explanation

Here, base of the triangle `= 12cm`

Let hypothenuse is `x`.

Then, perpendicular will be , `18-x`.

Now, from Pythagoras theorem,

`12^2+(18-x)^2 = x^2`

`=> 144+324+x^2-36x = x^2`

`=>36x = 468 -> x = 13`

So, hypotenuse is `13` cm and perpendicular will be `18-13 = 5` cm.

...