Question

Acellus

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

Answer 1

a =
`(28)/(√(2) )`

Explanation:

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

sin45° =
`(1)/(√(2) )` , then

sin45° =
`(opposite)/(hypotenuse)` =
`(a)/(28)` =
`(1)/(√(2) )` ( cross- multiply )

a ×
`√(2)` = 28 ( divide both sides by
`√(2)` )

a =
`(28)/(√(2) )`

Answer 2

a = 28 / √2

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