The sides of the triangle are 5 cm, 6 cm, and 7 cm. Find the sides of a similar triangle

| February 13, 2021 | education

The sides of the triangle are 5 cm, 6 cm, and 7 cm. Find the sides of a similar triangle if the difference between the largest and smallest sides is 14 dm.

From the condition, we know that the triangle is given by the sides of 5 cm, 6 cm and 7 cm.And we need to find the sides of a similar triangle if it is known that the difference between the largest and smallest sides in it is 14 dm.

We need to find the coefficient of similarity. To do this, we’ll start by finding the difference between the largest and smallest sides of a given triangle:

7 – 5 = 2 cm.

we translate 14 dm in cm = 14 * 10 = 140 cm.

We calculate the coefficient of similarity:

140: 2 = 70.

It remains to calculate the lengths of the sides:

1 side: 5 * 70 = 350 cm = 35 dm;

2 side: 6 * 70 = 420 cm = 42 dm;

3rd side: 7 * 70 = 490 cm = 49 in.



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