Question

4. In the adjoining figure, there is a square of side a + b
and four right triangles of sides a, b and hypotenusec
are arranged as shown to leave a square of side c in
the middle. Show that c2 = a2 + b2.​

Answer 1

Answer:

In ∆PQR Use Pythagoras

$( {a + b)}^{2} = {c}^{2} + {c}^{2} \\ {a}^{2} + {b}^{2} + 2ab = 2 {c}^{2}$