Answer:
16.34 square inches.
Step-by-step explanation:
Given:
Base of triangle, b = 3 inches
Height of triangle, h = 10.89 inches
Question asked:
What is the area of this triangle in square inches?
Round your answer to the nearest hundredths place .
Solution:
As we know,
As, we have to find the answer to the nearest hundredths place, hence the area of triangle will be 16.34 square inches.
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
