In an isosceles triangle, the base is 3/4 of the lateral side. find the lengths of the sides of the triangle if its perimeter is 22 cm.
Let each lateral side of an isosceles triangle be x cm.
The base is 3/4 of the side or 0.75x cm.
It is known that the perimeter is 22 cm.
We solve the equation.
2x + 0.75x = 22,
2.75x = 22,
x = 22: 2.75,
x = 8 (cm) – side.
0.75 * 8 = 6 (cm) – base.
Answer: The sides of the triangle are 8 cm, 8 cm and 6 cm.
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