The base of an isosceles triangle is 8 cm. What can be its lateral side if the perimeter of the triangle is less than 22 cm?
| September 15, 2021 | education
Let x cm be the lateral sides of an isosceles triangle. Both sides are equal. Perimeter Condition:
P <22
8 + x + x <22
2 * x <22 – 8
2 * x <14
x <7
Second condition: the sum of the lengths of any two sides of the triangle is greater than the length of the third side:
x + x> 8
2 * x> 8
x> 4
Answer: 4 <x <7
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