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Re: What is the length of side HI?
[#permalink]
11 Jun 2021, 00:54
1
10. Side HI is not labeled, so inferences will have to be drawn from other information provided in the figure. Two of the angles of triangle GHI are labeled, so if the third angle is x°, then 37 + 53 + x = 180. That means x = 90, and You should definitely redraw once you discover the triangle is a right triangle! Now you can use the Pythagorean theorem to find the length of HI. HI is the hypotenuse, so (6)2 + (8)2 = c2 , which means 36 + 64 = 100 = c2 , so c = 10. The length of HI is 10. Alternatively, recognize the Pythagorean triple: triangle GHI is a 6–8–10 triangle