Question 1176018: While drawing the cross-section of your triangular shaped cabinet, you wanted to insert a smaller triangular shaped cabinet whose vertices are the midpoint of the bigger cabinet that you want to construct. The bigger triangle is ALI and the smaller triangle is DOW. ON the bigger triangle, AL measures 362mm and LI measures 291mm. The vertices of the smaller triangle DOW are the midpoints of the three sides of the bigger triangle. Both the triangles you constructed are right triangles. Find the perimeter of triangle DOW.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Faulty problem description -- not enough information is given to answer the question.
The vertices of the smaller triangle are the midpoints of the sides of the larger triangle. From that, we know that the two triangles are similar, so the perimeter of the small triangle is half the perimeter of the large triangle.
But the description of the problem doesn't tell us whether the longer of the two given sides is the longer leg of the larger right triangle, or it hypotenuse. Therefore we can't determine the perimeter of the large triangle; and therefore we can't determine the perimeter of the small triangle.
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