Find the area of triangle XYZ if \angle Y = 45^\circ, z = 8, and x = 6. a) 16 \sqrt {2} \\ b)...
Question:
Find the area of triangle XYZ if {eq}\angle Y = 45^\circ, {/eq} z = 8, and x = 6.
{eq}a) 16 \sqrt {2} \\ b) 24 \sqrt 2 \\ c) 12 \sqrt 2 \\ d) 28 \sqrt 2 \\ e) 9 \sqrt 2 {/eq}
f) none of these
Area of Triangle:
Here, in this problem, we have to evaluate the area of the given triangle. To evaluate this, we apply the area rule.
According to the area rule, the area of any triangle is equal to half of the product of the lengths of the two sides of the triangle multiplied by the sine of the angle formed between these two sides.
Answer and Explanation: 1
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Given
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We have to find the area of a triangle.
Here, we apply the area rule.
According to this rule, the area of any triangle is equal to...
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Chapter 4 / Lesson 5Learn the definition of a triangle in geometry. Learn about the parts of triangles and different types of triangles. Discover how to find the area of a triangle.