if the area of a triangle is 84 in2 what is the value of x
A. 4.2 in
B. 168 in
C. 6 in
D. 24
![if the area of a triangle is 84 in2 what is the value of xA 42 inB 168 inC 6 inD 24 class=](https://us-static.z-dn.net/files/deb/4a7ec54789bbabf9662a79b6e847446e.jpg)
Answer: D. x= 24 in
Step-by-step explanation:
Given:The area of the triangle = [tex]84\ in^2[/tex]
In the given picture, it can be seen that the height of the triangle = 7 inches
Also, the base of the triangle = x
We know that the area of the triangle is given by :-
[tex]\text{Area}=\frac{1}{2}*base*height\\\\\Rightarrow\ 84=\frac{1}{2}*x*7\\\\\Rightarrow\ x=\frac{84\times2}{7}\\\\\Rightarrow\ x=24[/tex]
Hence, the value of x=24 in.