Question

Please help 40 points

Answer 1

Answer:

1- SSS (C)

2-Heron's Formula(B)

3-34.98(B)

Step-by-step explanation:

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Answer 2

Hello!

The answers are:

C) SSS

C) Heron's formula

B) $34.98Units^{2}$

Why?

1 - Since we are given all sides length, we can use it to calculate the area of the triangle.

2 -  Since we know all the sides length, we can calculate the area using the Heron's formula, wich states that:

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

Where:

$s=\frac{a+b+c}{2}\\a=FirstSideLength=10Units\\b=SecondSideLength=7Units\\c=ThirdSideLength=12Units$

3 - Calculating the area:

$s=\frac{10+7+12+}{2}=14.5$

$A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}$

$A=\sqrt{1223.44}$

$A=34.98Units^{2}$

Have a nice day!