In an isosceles triangle with a perimeter of 78 cm, the base is 6 times the lateral base. Find the sides of the triangle.
November 27, 2020 | education
| the problem can be solved using the equation
since the triangle is isosceles, then the sides are equal, we can denote them as x cm, therefore the base will be 6x cm
From the condition that the perimeter of the triangle is 78 cm, we compose the equation
x + x + 6x = 78
8x = 78
x = 9.75
9.75 cm are the sides, but we need to find all the sides of the triangle, we find the base
it is 6x, therefore 6 * 9.75 = 58.5 cm
Answer: the sides of the triangle are 9.75 cm, and the base is 58.5 cm
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