Mathematics: Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C? a. 35.9° b. 28.8° c. 96.4° d. 115.3°

Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2.

Ответ:

lacourboud20005

11.06.2021

Mathematics

Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Substituting a=74.1,b= 60.8,c=114.2 , we get

$\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}$

$\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}$

$\cos C=\dfrac{-3854.19}{9010.56}$

$\cos C=-0.42774145$

Taking cos inverse on both sides, we get

$C=\cos^{-1}{-0.42774145}$

C=115.324312

$C=115.3^\circ$

Therefore, the correct option is d.

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Ответ:

chozz2783

17.08.2020

Mathematics

The compass then steps around the circle marking off each side. as a printable step-by-step instruction sheet, which can be used for making a hexagon inscribed in a circle, except we are not given the circle, but one of the sides instead. The center of the circle is found using the fact. Dude who doesn't know that

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Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C? a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°

Ответ:

Ответ:

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