The sides of the triangle are proportional to the numbers 2.5 and 4.
April 2, 2021 | education
| The sides of the triangle are proportional to the numbers 2.5 and 4. Find the larger side of a similar triangle, the smaller side of which is 22cm.
We know that the sides of one of the triangles are proportional to the numbers 2: 5: 4. Find the larger side of a similar triangle, whose smaller side is 22 cm.
We can find the coefficient of similarity of these triangles.
Let’s denote it by k and write the equation:
2k = 22;
k = 22: 2;
k = 11 coefficient of similarity.
To find the larger side, we must multiply the similarity factor by 5.
So, we get the value:
11 * 5 = 55 cm length of the larger side of a similar triangle given.
Answer: 55 cm.
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