The length of one side of the triangle is a. The length of the second side is 80% of the length of the first
| April 4, 2021 | education
The length of one side of the triangle is a. The length of the second side is 80% of the length of the first, and the length of the third is equal to half the sum of the lengths of the first and second sides. Find the perimeter of the triangle.
1. Find the length of the second side of the triangle if it is known that it is 80% of the length of the first side.
a * 8: 10 = 4/5 a.
2. Determine the length of the third side if it is known that it is equal to half the sum of the lengths of the first and second sides.
3. (a + 4/5 a): 2 = 9/5 a: 2 = 9/10 a.
4. Calculate the perimeter of the triangle.
a + 4/5 a + 9/10 a = (10 a + 8 a + 9 a): 10 = 27 a: 10 = 2 7/10 a = 2.7 a.
Answer: The perimeter of the triangle is 2.7 a.
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