1. In ABC, A is a right angle, and m B=45*.

Question

Side CA also has a length of 17ft just to let everyone know.

What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not shown to scale.

A) 54 ft
B) 17 sqrt 3 ft.
C) 17 sqrt 2 ft.
D) 17 ft

I'm really confused on how to get this.

I saw someone do Sin 45 17/bc, they did it with different numbers so I plugged 17 in instead.

Where do I go from there?

Answer 1

quite simple really.
since angle A = 90° and angle B = 45°, then the other angle is also 45°, and the triangle is isosceles, thus the other two sides are equal.
let each side be x

x^2 + x^2 = 17^2
2x^2 = 289
x^2 = 289/2
x = 17/√2
= 17/√2 * √2/√2 = 17√2/2

all your answers choices are incorrect.

check:
(17√2/2)^2 + (17√2/2)^2
= 289/2 + 289/2 = 289

Answer 2

I'm pretty sure it's
17 sqrt 2 ft.
not 100% sure though