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kirill115 [55]
2 years ago
9

A right triangle has side lengths that are consecutive interest and a perimeter of 12 feet what are the angles of the triangle

Mathematics
1 answer:
mafiozo [28]2 years ago
8 0

Answer:

Step-by-step explanation:

The sides are consecutive integers and the perimeter is 12 ft.

3 ft, 4 ft, 5 ft

One angle is 90°, one angle is arcsin(3/5) ≅ 36.9°

the remaining angle is 90-36.9 = 53.1°

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The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

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\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

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