Find the area of △ABC with side lengths b = 6 and c = 17, and included angle A = 135∘. Round your answer to the nearest tenth
1 answer:
Answer:
<u>Area = 36.1 sq. units</u>
Step-by-step explanation:
We will use the "included angle area" formula for a triangle to solve this problem.
The formula is:
Where
a and b are the two sides given
C is the angle given BETWEEN the two sides
From the problem, we can write:
the two sides are 6 & 17, so that will be "a" and "b" of the formula
the included angle is 135, so that will be "C" of the formula
Substituting, we find the answer:
Rounded to 1 decimal place,
<u>Area = 36.1 sq. units</u>
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Answer:
The length of the other leg is 8.94 m.
Step-by-step explanation:
Given that,
Hypotenuse of a right triangle is 12 m
The length of the one of the legs of a right triangle is 8 m
We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,
H = hypotenuse = 12 m
b = base = 8 m
So, the length of the other leg is 8.94 m.