Question

Find the missing lengths of the sides

Answer 1

ANSWER

The correct answer is C

EXPLANATION

The given triangle is a right triangle. Since two angles are equal, it is a right isosceles triangle.

This implies that, x=8 units.

Using Pythagoras Theorem,

${y}^{2} = {8}^{2} + {8}^{2}$

This implies that:

${y}^{2} = 64 + 64$

${y}^{2} =128$

Take positive square root,

${y} = \sqrt{128}$

${y} = 8 \sqrt{2}$

The correct answer is C

Answer 2

Answer:

Correct choice is C. $x=8$, $y=8\sqrt{2}$.

Step-by-step explanation:

Apply formula $\sin\left(\theta\right)=\frac{opposite}{hypotenuse}$

$\sin\left(45^o\right)=\frac{8}{y}$

$\frac{1}{\sqrt{2}}=\frac{8}{y}$

$y=8\sqrt{2}$

Apply formula $\tan\left(\theta\right)=\frac{opposite}{adjacent}$

$\tan\left(45^o\right)=\frac{8}{x}$

$1=\frac{8}{x}$

$x=8$

Hence correct choice is C. $x=8$, $y=8\sqrt{2}$.