Question

Please help 40 points
What information relevant to calculating area do we have available for this triangle
A) base and hight
B) SAS
C) SSS
Which method should we use to calculate the area for this triangle
A) Area =1/2bh
B) trigonometric area formula
C) Heron’s formula

What is the area of this triangle calculated to nearest hundredth of a square unit
A)29.00
B)34.98
C)35.00
D)36.24

Answer 1

Answer:

1- SSS (C)

2-Heron's Formula(B)

3-34.98(B)

Step-by-step explanation:

I just took the test!!!

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!