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PLEASE HELP ME FIND THE AREA OF THIS TRIANGLE

PLEASE HELP ME FIND THE AREA OF THIS TRIANGLE-example-1

2 Answers

1 vote

Answer:

=49.15 cm²

Explanation:

To find the area of the triangle we use the sine formula

A= 1/2ab Sin∅

where A is the area a and b are the lengths of two sides that intersect at a point and ∅ is the angle between them.

a=10 cm

b= 12 cm

∅=55°

A= 1/2×10×12×Sin 55

=49.15 cm²

User Bendin
by
8.4k points
4 votes

ANSWER


Area =49.1 {cm}^(2)

EXPLANATION

The area of triangle given included angle and length of two sides can be calculated using the formula:


Area = (1)/(2) ab \sin(C)

Where C=55° is the included angle and a=12 cm , b=10cm are the known sides.

We plug in these values into the formula to get,


Area = (1)/(2) * 12 * 10 \sin(55 \degree)


Area =49 .14912266

Rounding to the nearest tenth, the area is


Area =49.1 {cm}^(2)

User Kidshaw
by
7.9k points

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