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In triangle ABC, mLA = 45°, °, mLB = 40°, and a = 7. Which equation should you solve to find b?

In Triangle ABC MLA 45 MLB 40 And A 7 Which Equation Should You Solve To Find B class=

Sagot :

Answer:

B

Step-by-step explanation:

Given a triangle with two angles and a side, then to find a side.

Use the Law of Sines

• [tex]\frac{sinA}{a}[/tex] = [tex]\frac{sinB}{b}[/tex] = [tex]\frac{sinC}{c}[/tex]

where a, b , c are the sides opposite ∠ A, ∠ B and ∠ C respectively.

given ∠ A = 45° , ∠ B = 40° and a = BC = 7 , then find b using the first two ratios of the Law of Sines, that is

[tex]\frac{sinA}{a}[/tex] = [tex]\frac{sinB}{b}[/tex] , then

[tex]\frac{sin45}{7}[/tex] = [tex]\frac{sin40}{b}[/tex] ← equation to solve for b

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