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postnew
2 months ago
8

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

riangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
Mathematics
1 answer:
Leona [12.6K]2 months ago
7 0

B refers to the base of the triangle,
and a signifies the length of the two identical sides.


The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.


Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1

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