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Tems11 [23]
3 years ago
13

The height of the isosceles triangle divided the base in half. If the legs are 17 and the entire base is 8, what is the height o

f this isosceles triangle? Round to the nearest tenth if necessary.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
The isosceles triangle divided the base in half and created 2 congruent right triangles.
The base of isosceles triangle = 8, so the leg of each right triangle = 8/2 = 4
The leg of isosceles triangle = 17. It's the hypo. of right triangle 
so 
x^2 = 17^2 - 4^2
x^2 = 289 - 16
x^2 = 273
x = √273
x = 16.5

Answer
Height of the isosceles triangle = 16.5 <span />
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