Question

Acellus Find the indicated side of the triangle. b 45° 28 a a = Enter

Answer 1

Answer:

a = $\frac{28}{\sqrt{2} }$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{28}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

a × $\sqrt{2}$ = 28 ( divide both sides by $\sqrt{2}$ )

a = $\frac{28}{\sqrt{2} }$

Answer 2

Answer:

a = 28 / √2

Step-by-step explanation:

Isosceles triangle therefor a = b

use pythagorean theorem

a² + a² = c²

2a² = 28²

a² = 28² / 2

Take the square root of both sides

a = 28 / √2