Refer to the given figure, an isosceles triangle with AB = AC.
-If the perimeter of $\triangle \mathrm { ABC } = 58 \mathrm {~m}$, and $\mathrm { AB } = 25 \mathrm {~m}$, what is the length $\mathrm { BC }$ ?
A) $50 \mathrm {~m}$
B) $56 \mathrm {~m}$
C) $8 \mathrm {~m}$
D) $25 \mathrm {~m}$

Question

Refer to the given figure, an isosceles triangle with AB = AC. 
-If the perimeter of $\triangle \mathrm { ABC } = 58 \mathrm {~m}$, and $\mathrm { AB } = 25 \mathrm {~m}$, what is the length $\mathrm { BC }$ ?
A) $50 \mathrm {~m}$ 
B) $56 \mathrm {~m}$ 
C) $8 \mathrm {~m}$ 
D) $25 \mathrm {~m}$

Quizplus · Accepted Answer

The perimeter of a triangle is the sum of the lengths of its sides. Given the perimeter is 58m and one side (AB) is 25m, the sum of the other two sides (BC and AC) must be 58m - 25m = 33m. Without knowing the length of AC, we cannot determine the exact length of BC from the options provided. However, none of the provided options correctly reflects the possible length of BC based on the information given, as they either exceed the total remaining perimeter (33m) or duplicate the length of AB, which doesn't directly help in determining BC's length without additional information. The correct approach to find BC's length would involve more information about the triangle, such as the length of the third side or specific properties of the triangle (e.g., if it's a special type of triangle). The provided choices do not allow for a direct calculation or logical deduction of BC's length based on the given perimeter and the length of AB alone.

Refer to the Given Figure, an Isosceles Triangle with AB △ABC=58 m\triangle \mathrm { ABC } = 58 \mathrm {~m}△ABC=58 m

Refer to the Given Figure, an Isosceles Triangle with AB $\triangle \mathrm { ABC } = 58 \mathrm {~m}$