Question

Consider the non-right triangle shown below that has side lengths of 1.4, 1.858, and 2.65 cm and interior angle measures of 41.826, $\alpha$, and $\beta$ degrees. a. What is the value of $\alpha$? $\alpha$ = Preview b. What is the value of $\beta$? $\beta$ = Preview 1.4 cm $\beta$ 1.858 cm 41.826° $\alpha$ 2.65 cm

          Consider the non-right triangle shown below that has side lengths of 1.4, 1.858, and 2.65 cm and interior angle measures of 41.826, $\alpha$, and $\beta$ degrees.
a. What is the value of $\alpha$?
$\alpha$ = 
Preview
b. What is the value of $\beta$?
$\beta$ = 
Preview
1.4 cm
$\beta$
1.858 cm
41.826°
$\alpha$
2.65 cm

Consider the non-right triangle shown below that has side lengths of 1.4, 1.858, and 2.65 cm and interior angle measures of 41.826, α, and β degrees.
a. What is the value of α?
α =
Preview
b. What is the value of β?
β =
Preview
1.4 cm
β
1.858 cm
41.826°
α
2.65 cm

Added by Lidia S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kathleen Carty

05/01/2023

Step 1

The Law of Cosines states that for any triangle with sides a, b, and c, and angle C opposite side c: c^2 = a^2 + b^2 - 2ab*cos(C) Using the given side lengths: 2.65^2 = 1.4^2 + 1.858^2 - 2*1.4*1.858*cos(A) Show more…

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Consider the non-right triangle shown below that has side lengths of 1.4, 1.858, and 2.65 cm and interior angle measures of 41.826, , and degrees. 1.4 cm B 1.858 cm 41.826 2.65 cm a. What is the value of a? Preview b.What is the value of ? = Preview