If sides A and B of a triangle have lengths of 3 and 5 respectively, and the angle between them is #(pi)/3#, then what is the area of the triangle?

Answer 1

The area of the triangle is #(15*sqrt(3))/4#

The area of a triangle is equal to #1/2bcsina# where #b# and #c# are the lengths of sides, and #a# is the angle in between.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Using the formula for the area of a triangle, which is ( \frac{1}{2} \times \text{base} \times \text{height} ), and knowing that the height of the triangle is given by ( A \times \sin(\theta) ), where ( A ) is the length of side ( A ) and ( \theta ) is the angle between sides ( A ) and ( B ), we can calculate the area of the triangle. Therefore, the area of the triangle is ( \frac{1}{2} \times 5 \times 3 \times \sin\left(\frac{\pi}{3}\right) ). Evaluating this expression yields an area of ( \frac{15\sqrt{3}}{4} ) square units.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7