find the area k of the triangle.\nk = square units\n(round to two decimal places as needed.)
find the area k of the triangle.\nk = square units\n(round to two decimal places as needed.)
Answer
Explanation:
Step1: Recall area formula
The area formula for a triangle with two - side lengths (a) and (b) and included - angle (C) is (K=\frac{1}{2}ab\sin C). Here (a = 2), (b = 7), and (C = 70^{\circ}).
Step2: Substitute values
Substitute (a = 2), (b = 7), and (C=70^{\circ}) into the formula. We know that (\sin70^{\circ}\approx0.9397). Then (K=\frac{1}{2}\times2\times7\times\sin70^{\circ}).
Step3: Calculate the area
First, (\frac{1}{2}\times2\times7 = 7). Then (K = 7\times\sin70^{\circ}\approx7\times0.9397 = 6.58).
Answer:
(6.58)