Question

Plz I need help with how to solve this will give brainlist

Answer 1

Answer:

9.73

Step-by-step explanation:

First, apply Law of Cosines since we are given

• Two side lengths and a angle between those side length
• A missing side length that is opposite of the given angle

The Law of Cosines formula is

$c = \sqrt{ {a}^{2} + {b}^{2} - 2ab ( \cos(c)) }$

Where a and b are the sides given and c is the given angle.

$c = \sqrt{6.33 {}^{2} + 9 {}^{2} - 2(9)(6.33) \cos(18.5) }$

So we get approximately after doing the calculations

$c = 3.74$

So our missing side length is 3.74

Now, we can use Heron formula,

Area of Triangle is equal to

$\sqrt{s(s - a)(s - b)(s - c)}$

Where s is the semi perimeter

$(6.33 + 9 + 3.74 )\times \frac{1}{2} = 9.535$

So our s is 9.535

So know, we subsitue

$\sqrt{9.535(0.535)(3.205)(5.795}$

So area is approximately

9.73

First, Add up all the sides and divide by 2 to get s

Answer 2

Answer:

  Area is 9.038 cm²

Step-by-step explanation:

  Data :

       c = 9.00 cm

       b = 6.33 cm

       A = 18.5°

   So by using this formula

     Area =  1/2 bc sin A

           A =28.485 sin 18.5°

           A = 9.038  cm²