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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?

 May 9, 2023
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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.  

.

 May 9, 2023
edited by Guest  May 9, 2023

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