Question

find the area of a triangle when A=22 degrees B=105 degrees and b=14

Answer 1

@Luigi0210

Answer 2

@Jeremy0203

Answer 3

@Compassionate

Answer 4

Hi,

Area = \[\frac{ 1 }{ 2 }b * h\]b = base
h = vertical height

A=22 degrees B=105 degrees and b=14.

However, you will want to use Heron's Formula for this, since you are given 3 angles, and not sides.

You can calculate the area of a triangle if you know the lengths of all three sides, using a formula that has been know for nearly 2000 years.

It is called "Heron's Formula" after Hero of Alexandria (see below)

Just use this two step process:
Calculate "s" (half of the triangles perimeter) using:\[s = \frac{ a + b + c }{ 2 }\]

Then calculate the Area using:
\[A = \sqrt{s(s-a)(s-b)(s-c)}\]

Example: What is the area of a triangle where every side is 5 long?
Step 1: s = (5+5+5)/2 = 7.5
Step 2: A = √(7.5 × 2.5 × 2.5 × 2.5) = √(117.1875) = 10.825...

______________________________

Drawing back: A=22 degrees B=105 degrees and b=14

If you plug that in to the formula I gave you, you'll see A = ???

Answer 5

30.4?

Answer 6

@Compassionate