Refer to the given figure, an isosceles triangle with AB = AC.
-If the perimeter of $\triangle \mathrm { ABC } = 47 \mathrm {~m}$, and $\mathrm { BC } = 11 \mathrm {~m}$, what is the length $\mathrm { AC }$ ?
A) $11 \mathrm {~m}$
B) $18 \mathrm {~m}$
C) $45 \mathrm {~m}$
D) $36 \mathrm {~m}$

Question

Refer to the given figure, an isosceles triangle with AB = AC. 
-If the perimeter of $\triangle \mathrm { ABC } = 47 \mathrm {~m}$, and $\mathrm { BC } = 11 \mathrm {~m}$, what is the length $\mathrm { AC }$ ?
A) $11 \mathrm {~m}$ 
B) $18 \mathrm {~m}$ 
C) $45 \mathrm {~m}$ 
D) $36 \mathrm {~m}$

Quizplus · Accepted Answer

Perimeter of a triangle = Sum of the lengths of all three sides$ \therefore 47 = 11 + AC + AB $$ \therefore AC + AB = 36 $$ \therefore AC = 36 - AB $We don't know the value of AB, so we cannot find the exact value of AC.

Refer to the Given Figure, an Isosceles Triangle with AB △ABC=47 m\triangle \mathrm { ABC } = 47 \mathrm {~m}△ABC=47 m

Refer to the Given Figure, an Isosceles Triangle with AB $\triangle \mathrm { ABC } = 47 \mathrm {~m}$