Area of triangle is 73.1 square meter.
What is the area of SAS triangle?
"SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.
Consider a, b, and c are the different sides of a triangle.
When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)
When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)
When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)
How to roundoff to the nearest tenth?
Round to the nearest tenth means to write the given decimal number up to one decimal place. This is done in such a way that after rounding off, there is one digit after the decimal point. In order to round to the nearest tenth, we need to look for the digit on the 'tenths' place and observe the digit towards its right in the given number. The position of the first digit after the decimal point is considered as the tenths place.
Given
a = 17 m
b = 15 m
θ = 35 degrees
Area of triangle
S = [tex]\frac{1}{2}[/tex] × ab × sinθ
S = [tex]\frac{1}{2}[/tex] (17)(15) × sin[tex]35^{0}[/tex]
S = 72.675 square meter
Rounding off 72.675 to the nearest tenth
Area of triangle is 72.7 square meter.
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