Example Question - triangle proportion

Here are examples of questions we've helped users solve.

Solving for Unknown Side Length in Similar Triangles

Unfortunately, the image provided does not clearly indicate all the numerical values necessary for solving the problem. It seems to show two similar triangles, where the lengths of corresponding sides are proportional, but I cannot see the value of the side that is labeled with an "x" in the smaller triangle. However, if we assume that the proportion between the sides of the two triangles visible (8 in the smaller triangle and 16 in the larger one) is consistent with the proportion of the unknown side (x) and its corresponding side in the larger triangle, we can find the value of "x". If the triangles are similar, then the ratio of a side of the smaller triangle to its corresponding side in the larger triangle should be the same for all sides. In this case, it seems that: 8 (smaller triangle) / 16 (larger triangle) = 1 / 2 Now apply this ratio to find "x" by using the corresponding side in the larger triangle (which is not visible in the image). If we had that length, we could calculate x as follows: x / corresponding side in the larger triangle = 1 / 2 Unfortunately, without the length of the corresponding side in the larger triangle, I cannot calculate the exact value of x. If you provide the length of the corresponding side in the larger triangle or any additional information, I would be able to solve for x. Please check the image for any additional information or clarify the lengths, and I'd be glad to assist you further.

Finding Missing Side Length of a Triangle

The image shows two similar triangles, which means that all corresponding angles are equal and the sides are in proportion. One triangle has side lengths of 'x' and '7', and the corresponding sides of the larger triangle are '8' and '18'. We need to find the missing side length 'x' for the smaller triangle. To find 'x', we can set up a proportion using the sides of the triangles: x/7 = 8/18 Now we solve for 'x': x = (7 * 8) / 18 x = 56 / 18 x = 3.111... Rounding to the nearest hundredth, we get: x ≈ 3.11 Therefore, the missing side length 'x' is approximately 3.11.

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