Find the area of a Δ with two sides that measure 9 m and 14 m with an included angle of 127°.Question 22Select one:a.100.8 m2b.51.8 cm2c.25.2 m2d.50.31 m2
Question
Find the area of a Δ with two sides that measure 9 m and 14 m with an included angle of 127°.
Question 22 Select one:
- a. 100.8 m²
- b. 51.8 cm²
- c. 25.2 m²
- d. 50.31 m²
Solution
To find the area of a triangle given two sides and the included angle, you can use the formula:
Area = 1/2 * a * b * sin(C)
where: a and b are the lengths of the two sides (9 m and 14 m in this case) C is the included angle (127° in this case)
So, the area of the triangle is:
Area = 1/2 * 9 m * 14 m * sin(127°)
First, calculate the sine of 127°. Using a calculator, sin(127°) is approximately 0.819152.
Then, substitute the values into the formula:
Area = 1/2 * 9 m * 14 m * 0.819152 Area = 51.8 m²
So, the correct answer is b. 51.8 m².
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