The base of the isosceles triangle ABC is 4 cm less than the lateral side.
March 10, 2021 | education
| The base of the isosceles triangle ABC is 4 cm less than the lateral side. The perimeter of triangle ABC is 47 cm. Find the length of the base of the triangle.
Given: ABC – isosceles triangle; the perimeter of the triangle ABC is 47 cm; the base of the triangle is 4 cm less than the side.
Find: the length of the base of the triangle.
Decision:
isosceles triangle – a triangle that has two sides (sides);
the perimeter of a triangle is the sum of the lengths of all sides of the triangle.
If the base of the triangle were equal in length to the lateral side, then 47 + 4 = 51 (cm) would be the perimeter of the triangle; 51: 3 = 17 (cm) side length; 17 – 4 = 13 (cm) base length.
Answer: 13 centimeters.
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