Question

Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
100 POINTS IF YOU ANSWER CORRECTLY AND ILL GIVE BRAINLIEST

Answer 1

Semi perimeter:-

$\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}$

$\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}$

$\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm$

Apply heron s formula

Area:-

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

$\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}$

$\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}$

$\\ \rm\rightarrowtail \sqrt{4.6656}$

$\\ \rm\rightarrowtail 2.16cm^2$

Answer 2

Answer:

$\sf Area \ of \ a \ Triangle=\dfrac12bh$

(where b is the base of the triangle and h is the height)

Given:

• base = 2.4 cm
• height = 1.8 cm

Substitute the given values into the formula:

$\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8$

               $\sf =2.16 \ cm^2$