If the lengths of the two sides of the triangle are natural numbers and are equal to 5 cm and 7 cm

| April 3, 2021 | education

If the lengths of the two sides of the triangle are natural numbers and are equal to 5 cm and 7 cm, then the length of the third side can be equal to …

It is known that the sum of the squares of the sides of a triangle must be greater than or equal to the square of the third side. Let’s calculate the sum of the squares of the sides of the triangle from the condition equal to 5 cm and 7 cm.We get 25 + 49 = 74.

Let us check the squares of the values from the points one by one and select the value whose square is greater than or equal to 74.

a) 35 ^ 2 = 1225. More than 74, does not fit.

b) 12 ^ 2 = 144. More than 74, does not fit.

c) 15 ^ 2 = 225. More than 74, does not fit.

d) 3 ^ 2 = 9. Less than 74 is appropriate.

Answer: the third side of a triangle with sides of 5 cm and 7 cm is 3 cm.



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