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?
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 180o so 180o – (135o + 30o) = 15o
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.
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