The perimeter of a triangle is 640mm. Find the length of the third side if it is known that the
September 3, 2021 | education
| The perimeter of a triangle is 640mm. Find the length of the third side if it is known that the two sides of this triangle are equal by 2dm4cm.
Condition:
P = 640 mm,
a = b = 2dm 4cm
c =? mm.
Solution:
2 dm 4 cm = 200 mm + 40 mm = 240 mm.
The perimeter of a triangle is equal to the sum of the lengths of its sides:
P = a + b + c, where a, b and c are the sides of the triangle.
Let s = x mm, then
240 + 240 + x = 640;
480 + x = 640;
x = 640 – 480;
x = 160.
c = 160 mm = 16 cm.
Answer: 16 cm perimeter of the triangle.
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