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A triangle has sides A, B, and C. If the angle between sides A and B is #(pi)/4#, the angle between sides B and C is #(pi)/2#, and the length of B is 10, what is the area of the triangle?

1 Answer

Apr 11, 2016

#"Area"_(triangle"ABC") = 50 "sq.units"#

Explanation:

From the given information we can deduce that the angle between A and C is #pi/4#
and therefore #triangle"ABC"# is an isosceles, right-angled triangle with #abs(B) = abs(C)=10# and #B_|_ C#

Using #B# as the base and #C# as the height
#color(white)("XXX")Area_triangle = 1/2*B*C = 1/2*10*10=50#

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