Question

I need help answering this

Answer 1

Answer: AB=5.66, AC=4

Explanation:

So this triangle is a 45-45-90 triangle, meaning it has one 90 degree angle and two 45 degree angles.

If you remember from geometry, the sides that have the same angle have the same length, and seeing as angle A is 45 degrees and side BC is 4, we can know for certain that angle B is 45 degrees and side AC is also 4.

This is because angle C is already marked as the 90 degree angle due to the square symbol in it.

Now to find side AB, we would use our friend the Pythagorean Theorem, which states that
`a^2+b^2=c^2`.

Let a = side BC and b = side AC, meaning c = side AB.

Now plug in the values and solve:

`4^2+4^2=c^2`

`32=c^2`

`√(32) =√(c^2)`

`5.65685=c`