. The perimeter of an isosceles triangle is 42 cm. Its base is 2/3times the sum of equal side Find the length of each side of the triangle
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Answer:
The length of the each equal side of the isosceles triangle is 12.6 cm and the base is 16.8 cm
Step-by-step explanation:
Let the length of the each equal side of the isosceles triangle is a cm.
Therefore, the sum of the equal side of the triangle is 2a cm.
Therefore, its base = 2a × 2/3 = 4a/3
Perimeter = 42 cm
Therefore, a + a + 4a/3 = 42
⇒ 10a/3 = 42
⇒ 10a = 126
⇒ a = 12.6 cm
Therefore base = 4× 12.6 / 3 = 16.8 cm
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