1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.

2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?

Guest May 9, 2023

#1**0 **

*1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.*

Since it's a right triangle, either leg (but not the hypotenuse) can be considered the base.

The area is half the base times the height,and so (1/2)(6)(8) = **24 sq units**

*2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?*

For this I'm assuming we're talking about a triangle, which was not specified.

The sum of all three angles of a triangle is 180^{o} so 180^{o} – (135^{o} + 30^{o}) = **15 ^{o}**

edited to add about #1 ~ Actually, the hypotenuse __can__ be used as the base, but

you get all mixed up with sine or tangent or Pythagoras, so it's easier to use a leg.

_{.}

Guest May 9, 2023

edited by
Guest
May 9, 2023