Answer:
Explanation:
To find the perimeter of a triangle, we need to sum the lengths of all three sides.
Given the lengths of the sides of the triangle as a = 7.7 cm, b = 6.5 cm, and an unknown side length c, we can find c using the Pythagorean theorem:
a² + b² = c²
Substituting the given values:
(7.7)² + (6.5)² = c²
59.29 + 42.25 = c²
101.54 = c²
Taking the square root of both sides to find c:
c = √101.54
c ≈ 10.08 cm (rounded to 2 decimal places)
Now that we have the lengths of all three sides, we can calculate the perimeter:
Perimeter = a + b + c
Perimeter = 7.7 + 6.5 + 10.08
Perimeter ≈ 24.28 cm (rounded to 1 decimal place)
Therefore, the perimeter of the triangle is approximately 24.3 cm.