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If BC = 26, AC = 30, and AB = 30, find the perimeter of △AED.

User Evangel
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2 Answers

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Final answer:

The question does not provide enough details to determine the perimeter of △AED. Additional information or a figure is required to find the accurate dimensions and solve for the perimeter.

Step-by-step explanation:

To find the perimeter of △AED when BC = 26, AC = 30, and AB = 30, we need additional information about the relationship between triangle ABC and triangle AED, as well as the location of point D and E with respect to triangle ABC. The question does not provide enough details or a figure to accurately determine the perimeter of △AED. If △ABC is also related to △AED and if D and E are points on AB and AC respectively, then we could use the congruent triangles and the ratios to find the lengths of AD and DE. But without that information or assuming that D and E divide AB and AC evenly, we are missing crucial data to solve this problem.

Generally, if △AED shares sides with △ABC, and we know that AB = 30 and AC = 30, and assuming D and E are on AB and AC respectively, we can add the lengths of the sides of △AED, such as AD + DE + AE to find the perimeter. However, without specific information about points D and E, a precise solution cannot be provided.

User Poyan
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6.8k points
3 votes
176
Since you didn't bother to include a diagram of the triangle, I am going to make some assumptions. You need to actually verify that the assumptions are correct and if they are, then this answer is correct. Otherwise if the assumptions are not correct, you're on your own.
Assumption.Points B and C are midpoints of line segments AE and AD. The reason for this assumption is because if points B and C didn't lie on the sides of triangle AED, you would gain no useful information about triangle AED from the lengths provided. Additionally, if those points were not midpoints, you wouldn't gain any information about the lengths of the sides of triangle AED expect that those sides were longer than the lengths of the sides specified.
Once again. VERIFY that points B and C are midpoints of line segments AE and AD.
Now for the solution:Since triangle AED is similar to triangle ABC, that means that the ratio of the lengths of the sides is constant. And since B & C are midpoints of their respective sides, the perimeter of triangle AED is twice the perimeter of triangle ABC. And the perimeter of triangle ABC is 26 + 30 + 30 = 86. So the perimeter of triangle AED is 86 * 2 = 176
User Rafael Borja
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