Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters.
2 answers:
AB + BC + AC = 96 but AB = AC [isosceles triangle] 2AB + 24 = 96 2AB = 96 - 24 = 72 AB = 72/2 = 36 AB = 36 degrees.
Isosceles triangles are triangle with 2 equal sides.
base of the triangle is AC , therefore sides AB and BC are equal
perimeter is sum of all the sides of ABC
formula is
AB + BC + AC = 96 cm
AC = 24 cm
then
AB + BC = 96 - 24
AB + BC = 72 cm
since its an isosceles triangle
AB = BC = x
then
x + x = 72
2x = 72
x = 72/2 = 36 cm
measure of AB = 36 cm
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