The ratio of corresponding sides of two similar triangles is 2:3 ,if the longer side is 5cm ,calculate the length of the shorter side
L = 2/3 * 5cm =
To calculate the length of the shorter side, we first need to find the scale factor between the two triangles. The scale factor is the ratio of any corresponding side lengths of the two triangles.
In this scenario, the ratio of the corresponding sides of the two similar triangles is given as 2:3. This means that the scale factor is 2/3.
To find the length of the shorter side in the larger triangle, you need to multiply the length of the corresponding side in the smaller triangle by the scale factor.
Let's call the length of the shorter side in the smaller triangle "x".
According to the given ratio, the length of the longer side in the smaller triangle is (2/3)*x. Since we know the length of the longer side of the smaller triangle is 5cm, we can set up the following equation:
(2/3)*x = 5
To find "x", we need to solve this equation. We can do this by multiplying both sides of the equation by 3/2 to isolate "x":
x = 5 * (3/2)
Simplifying the right side of the equation gives:
x = 7.5
Therefore, the length of the shorter side in the smaller triangle is 7.5 cm.