0.0 false false askhint asksolution 1.0 90 65 45 60 75 90 90 90 180 90 right angle SolRightAngle SolRightAnglei scalene SolScalene SolScalenei

In triangle ABC, side a=, angle A=° and angle B=°. Find the length of side b.

OK
Not far off - check your rounding...
Incorrect

You have had three attempts at answering this question, so here is the solution:

This is a triangle, so we can use sin(B) to find b directly we apply the Sine Rule:

$\begin{array}{ccc}\hfill \mathrm{sin}\left(B\right)& \hfill =\hfill & \frac{b}{a}\hfill \\ \hfill b& \hfill =\hfill & a\mathrm{sin}\left(B\right)\hfill \\ \hfill b& \hfill =\hfill & \mathrm{ia}×\mathrm{sin}\left(\mathrm{iB}\right)\hfill \\ \hfill & \hfill =\hfill & \mathrm{fAns}\hfill \end{array}$ $\begin{array}{ccc}\hfill \frac{a}{\mathrm{sin}\left(A\right)}& \hfill =\hfill & \frac{b}{\mathrm{sin}\left(B\right)}\hfill \\ \hfill \frac{\mathrm{ia}}{\mathrm{sin}\left(\mathrm{iA}\right)}& \hfill =\hfill & \frac{b}{\mathrm{sin}\left(\mathrm{iB}\right)}\hfill \\ \hfill b& \hfill =\hfill & \frac{\mathrm{ia}×\mathrm{sin}\left(\mathrm{iB}\right)}{\mathrm{sin}\left(\mathrm{iA}\right)}\hfill \\ \hfill & \hfill =\hfill & \frac{\mathrm{ia}×\mathrm{sinB}}{\mathrm{sinA}}\hfill \\ \hfill & \hfill =\hfill & \mathrm{fAns}\hfill \end{array}$

So the expected answer is .

Since you have viewed the solution, your score for this question will be 0.

SOLUTION true completed null 0 Correct 10.0 Partial 5.0 Incorrect 0.0 3 THREETRIES SOLUTION completed null SEEN-SOLUTION 0.0