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Answer :
The area is approximately 460.07 square units.
To find the area of a triangle given two sides and the included angle (SAS Triangle), you can use the formula:
Area = 0.5 * a * b * sin(C)
Here, 'a' and 'b' are the lengths of the two sides, and 'C' is the included angle.
- Assign the given values: a = 29, b = 36, and C = [tex]62\textdegree[/tex].
- Convert the angle to radians since most calculators use radians for trigonometric functions. Note that 62 degrees = approximately 1.0821 radians.
- Substitute the values into the formula:
Area = 0.5 * 29 * 36 * sin([tex]62\textdegree[/tex]) ≈ 0.5 * 29 * 36 * 0.8829 ≈ 460.07 square units
Therefore, the area of the triangle is approximately 460.07 square units.
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To find the Area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.
A triangle's feature known as SAS, or "Side, Angle, Side," has two sides and an angle that are both known.
The space occupied between the sides of the SAS triangle in a plane can thus be calculated with the use of the SAS triangle area formula.
The formula to find area of SAS triangle is:
Area = ½ ab Sin C = ½ × 29 × 36 × sin 62
Thus, Area = 522 × sin 62 = 522 × 0.88 = 459.36
Hence, Area of SAS triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.
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