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PilotLPTM [1.2K]
3 years ago
5

In a certain isosceles right triangle, the altitude to the hypotenuse has length

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

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