Find the perimeter of an isosceles triangle, the two sides of which are 30 cm and 15 cm.
May 10, 2021 | education
| The perimeter of a triangle is the sum of all its sides. In an isosceles triangle, the two sides are equal. Two sides of the triangle are given a = 15 cm, b = 30 cm.
1. What is side c equal to? In a triangle, the sum of the lengths of any two sides is greater than the third.
a) if c = a, then
a + c> b;
2a> b, replace a, b with numerical values:
2 × 15> 30,
30> 30, this is not true, 30 = 30.
c) check, for c = b:
2 × b> a;
2 × 30> 15;
60> 15, right, so c = b = 30 cm.
2. Find the perimeter:
P = a + b + c, or
P = a + 2 × b;
P = 15 + 2 × 30;
P = 15 + 60;
P = 75 cm.
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