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Volgvan
3 years ago
10

ABC below is a right triangle where the measure of AB is 6 units and the measure of ∠A is 50°. What would the area of the triang

le be?
A. 18sin50°
B. 18tan50°
C. 6sin50°
D. 36sin50°

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0
B. is the thing dear friend
ira [324]3 years ago
5 0

Answer:

18 tan 50

Option B

Step-by-step explanation:

Given is a picture of triangle ABC.

The triangle is right angled at B.

AB =6 and angle A = 50

Using trig ratios we have

\frac{AB}{AC} =\frac{6}{y} =cos50 where y is length of hypotenuse = AC

Solving y = 6sec 50

Area of triangle = \frac{1}{2} (AB)(AC) sin 50

=\frac{1}{2} (6)(6sec50)(sin50)\\= 18 tan 50

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