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}=
  `√(512)`

so the r is root 512 and x is 16.

Hope it helpa