Question

Can you please help me solve this. Thank you

Answer 1

As we know that sum of three angles of triangle is 180º.

$\blue\star$we have

$angle \: a + angle \: b+ angle \: c= 180$

$a + 45 + 90 = 180 \\ a = 180 - 135 \\ a = 45$

$\blue\star$ The angles a and c are equal so,

• cb = ab. [ sides opp to equal angles are equal]

so x is also 16

$\blue\star$Now we have two side we can easily find the third side by P.G.T

• ${AC}^{2}$ = ${BC}^{2}$ + ${AB}^{2}$
• ${AC}^{2}$ = ${16}^{2}$ + ${16}^{2}$
• {AC}= $\sqrt{512}$

so the r is root 512 and x is 16.

Hope it helpa