SOLUTION: Two isosceles triangles have congruent base angles. The length of a leg and base of one triangle are 17 cm and 10 cm respectively. The length of the base of the other triangle is 8

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Question 1136815: Two isosceles triangles have congruent base angles. The length of a leg and base of one triangle are 17 cm and 10 cm respectively. The length of the base of the other triangle is 8 cm. What is the length of the leg of the second triangle?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
The two triangles are similar, having two pairs congruent angles 


Having two pairs congruent base angles, their corresponding sides are the pair of legs and the pair of bases.


Therefore, the proportion takes place


    leg%5B1%5D%2Fbase%5B1%5D = leg%5B2%5D%2Fbase%5B2%5D,   or   17%2F10 = x%2F8.     <<<---=== just fixed after notice by @greenestamps . . . 


From the last proportion,  x = %288%2A17%29%2F10 cm  = 136%2F10 cm = 13.6 cm for the leg of the second triangle.    ANSWER

Solved.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(for tutor @ikleyn)....

The 8cm is the BASE of the second triangle, not the leg