triangles

 

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

 

In a right triangle, either leg can be the base, and the other leg the altitude.  

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  

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