The two sides of the triangle are 10 cm and 12 cm. It is known that the third side is expressed
| February 25, 2021 | education
The two sides of the triangle are 10 cm and 12 cm. It is known that the third side is expressed as an integer, and its length is more than 20.3 cm but less than 24.5 cm. What can this length be?
Let a be the length of the required side.
It is known that 20.3 cm <a <24.5 cm and is expressed as an integer.
Therefore, a can take on the values 21, 22, 23, 24.
According to the rule of the ratio of the lengths of the sides of a triangle, the sum of the two sides of a triangle is less than the length of the third side.
Let’s calculate the sum of the lengths of the known sides of the triangle: 10 + 12 = 22 cm.
From the numbers 21, 22, 23, 24 we choose those that satisfy the inequality:
a <22 cm.
The condition is fulfilled only for a = 21 cm.
Answer: 21 cm.
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