Question

WILL REWARD!

What is the area of triangle PQR to the nearest tenth of a meter?

Answer 1

Do you know the formula for the area of a triangle?

Answer 2

The area of any triangle is 1/2 * the product of any two sides and the sine of the included angle.

Answer 3

A=hb (b) / 2

Answer 4

I know the law of sine is sine(P)/RQ = sin(R)/PQ

Answer 5

After putting in all the numbers i got p=arc sin(6*sin(35)/14) i just need solving this.

Answer 6

To find the area of a triangle, if you know the base and height, all you do is multiply them together and divide by 2.
In this case, you are given the lengths of two sides and the measure of the included angle. In this case, follow what @sidsiddhartha wrote above.

\(A = \dfrac{ab \sin C}{2} \)

Answer 7

Just multiply the lengths of the sides and sin 35 and then divide by 2.

Answer 8

Above, it's better to write the formula as

\(Area ~of ~Triangle= \dfrac{ab \sin C}{2} \)

(Since I'm using C to mean the measure of angle C, it's better to use "Area " for the area since A can be confused with the measure of angle A.

Answer 9

When i do that i get -17.983

Answer 10

Impossible.
What do you get for sin 35 deg?

Answer 11

I see. Your calculator is set to radians. Set it to degrees since we are using an angle measure of 35 degrees, not 35 radians.

Answer 12

ha ha sin35=0.573 so from where - is coming?

Answer 13

i think mode of ur calculator is in rad change it into degree

Answer 14

So now i got 24.066

Answer 15

It's coming from \(\sin 35 \color{red}{~rad} = -0.4282\)

Whereas \(\sin 35^\color{red}{o} = 0.5736\)

Answer 16

Much better.
Answer is 24.09021033
Now round off to nearest tenth of a square meter.

Answer 17

24.1 m^2?

Answer 18

Correct!