To solve this problem, we can set up a proportion using the corresponding side lengths of the similar triangles.
Let x be the missing side length in the second triangle.
We can set up the proportion:
36cm / 21cm = x / 15cm
To solve for x, we can cross-multiply and then divide:
36cm * 15cm = 21cm * x
540cm^2 = 21cm * x
To isolate x, we divide both sides of the equation by 21cm:
540cm^2 / 21cm = x
25.71cm ≈ x
Therefore, the missing side length in the similar figures is approximately 25.71cm.
Use a proportion to find the missing side length in the similar figures. One triangle has the sides of 36cm and 21cm. The other has the side of 15cm.
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