Answer:
23/26 is a greater percentage, it equals around 88% while 12/15 equals 80%
Step-by-step explanation:
We need a picture of the lines
Each of the triangles are equal in base length, height, and area. Remember the formula for the area of a triangle. The area of any triangle is 1/2 times the length of the base (which, in the polygon, is the length of a side) multiplied by the height (which is the same as the apothem in regular polygon)
Answer:
![A+B+C=130](https://tex.z-dn.net/?f=A%2BB%2BC%3D130)
![F+E+D=273](https://tex.z-dn.net/?f=F%2BE%2BD%3D273)
Step-by-step explanation:
From the question we are told that:
Dimension of ABC
A=9
B=11
C=110
Dimension of FED
D=231
Generally the equation for the similar triangles is mathematically given by
![\frac{A}{F}=\frac{B}{E}=\frac{C}{D}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7BF%7D%3D%5Cfrac%7BB%7D%7BE%7D%3D%5Cfrac%7BC%7D%7BD%7D)
Therefore solving for F
![\frac{9}{F}=\frac{110}{231}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7BF%7D%3D%5Cfrac%7B110%7D%7B231%7D)
![F=\frac{9*231}{110}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%2A231%7D%7B110%7D)
![F=18.9](https://tex.z-dn.net/?f=F%3D18.9)
Therefore solving for E
![\frac{11}{E}=\frac{110}{231}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7BE%7D%3D%5Cfrac%7B110%7D%7B231%7D)
![E=\frac{11*231}{110}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B11%2A231%7D%7B110%7D)
![E=23.1](https://tex.z-dn.net/?f=E%3D23.1)
Measure of ![\triangle ABC](https://tex.z-dn.net/?f=%5Ctriangle%20ABC)
![A+B+C=130](https://tex.z-dn.net/?f=A%2BB%2BC%3D130)
Measure of ![\triangle FED](https://tex.z-dn.net/?f=%5Ctriangle%20FED)
![F+E+D=273](https://tex.z-dn.net/?f=F%2BE%2BD%3D273)