One side of the triangle is 32 centimeters long, the second is 45% of the first

univerkov | August 6, 2021 | education

One side of the triangle is 32 centimeters long, the second is 45% of the first, and the third is 11/16 of the first. Calculate the perimeter of the triangle.

We calculate the length of the second side of the triangle, making a proportion, expressing the second side of the triangle through b:

32 cm – 100%,

b – 45%.

b = 32 * 45: 100;

b = 1440: 100;

b = 14.4 cm – the length of the second side of the triangle.

We calculate the length of the third side of the triangle, making a proportion, expressing through the third side of the triangle:

32 cm – 1,

c – 11/16.

c = 32 * 11/16: 1;

c = 22: 1;

c = 22 cm – the length of the third side of the triangle.

Let’s calculate the perimeter of the triangle:

P = 32 cm + 14.4 cm + 22 cm = 46.4 cm + 22 cm = 68.4 cm.

Answer: The perimeter of the triangle is 68.4 cm.

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