If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is $\frac{π}{6}$ $(pi)/6$ , then what is the area of the triangle?

Question

If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is $\frac{π}{6}$ $(pi)/6$ , then what is the area of the triangle?

2 Answers

Impact of this question

1821 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-05T15:18:03

7 square units

Explanation:

In a triangle if 2 sides and the angle between them(included angle) are known, then the area can be calculated using the following :

area (A) = $\frac{1}{2} a b sin θ$ $1/2ab sintheta$

where a, b are the 2 sides and $θ the angle between them$ $theta " the angle between them "$

here a = 4 , b = 7 and $θ = \frac{π}{6}$ $theta =pi/6$
substitute theses values into the formula.

$A = \frac{1}{2} \times 4 \times 7 sin (\frac{π}{6}) = 7 square units$ $A = 1/2xx4xx7sin(pi/6) = 7 " square units "$

Answer 2 · 2016-03-05T15:19:32

follow the fomula

Explanation:

Area = $\frac{1}{2} A B sin θ = \frac{1}{2} \cdot 4 \cdot 7 \cdot sin (\frac{π}{6}) = 7$ $1/2ABsintheta=1/2*4*7*sin(pi/6)=7$ squnit

Science

Math

Humanities

... and beyond

If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is $\frac{π}{6}$ $(pi)/6$ , then what is the area of the triangle?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is π6(pi)/6, then what is the area of the triangle?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is $\frac{π}{6}$ $(pi)/6$ , then what is the area of the triangle?