Question

In a $\Delta$, the measures of all angles are square numbers. What is the measure of each angles ?

Answer 1

$lettheanglesbe{p}^2,q^2,r^{2}respectively.$

$⟹p^2+q^2+r^2={180}^{\circ }$

Here, we will have to use hit and trial method.

$Ifp=10,p^2=100$

$⟹p^2+q^2=80$

$p^2+r^2=80$

is true only when

$q=4,r=8$

$\therefore anglesare,{100}^{\circ },{16}^{\circ },{64}^{\circ }$