High School

Find the area of the SAS triangle with side lengths 29 and 36, and an included angle of 62 degrees.

Answer :

The area of the SAS triangle is 460.89 cm³.

Given data;

Side length (a) = 29

Side length (b) = 36

With an angle of Ф = 62°

Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.

Now, to calculate the area of a given triangle, we use the formula as;

Area = a*b*sinФ/2

From the above formula;

Area of the SAS triangle = a*b*sinФ/2

= [29*36*sin(62°)]/2

= 460.89 cm³

Hence, the area of the SAS triangle is 460.89 cm³.

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The area of triangle is 460.89 unit square.

Given:

lengths of rod, a = 29 and b = 36 ,

angle between them (θ) = 62

We know that in a general triangle of side a,b,c and angles A,B,C ,

we can write area of triangle (Δ) is

Δ = absinθ/2

Δ = 29*36sin62/2

Δ = 460.89 unit square.

hence, the area of triangle is 460.89 unit square.

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