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In Triangle RMC, RM = 19, MC = 27, and ∠CMR = 27°. What is the area of triangle RMC? Round to the nearest tenth.

Answer :

the area of the triangle RMC will be 116.44 unit²

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle. There are different types of triangles such as isosceles, right-angled, equilateral etc.

The sum of all angles of triangle = 180

In Triangle RMC, RM = 19. MC = 27. and CMR = 27°.

Area is = A*B*sin(M)/2

= 19*27*sin(27)/2

=116.44856

Hence the area of the triangle RMC will be 116.44 unit²

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Rewritten by : Jeany

Final answer:

The area of Triangle RMC, with the given lengths and angle, is approximately 130.1 square units, rounded to the nearest tenth.

Explanation:

In this question, we are given Triangle RMC with RM = 19, MC = 27, and the angle CMR = 27°. We are tasked to find the area of this triangle.

The area formula for a triangle when two sides and the included angle are known is given by: Area = 0.5 * a * b * sin(C), where a and b are sides, and C is the included angle.

Substituting these values in, we have Area = 0.5 * RM * MC * sin(CMR) = 0.5 * 19 * 27 * sin(27°). After carrying out the multiplication and taking the sinus of the angle, we find that the Area is approximately 130.1 square units, rounded to the nearest tenth

Learn more about Triangle Area here:

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