Question

D, E, equals, 72DE=72, E, F, equals, 58EF=58, D, F, equals, 82DF=82, H, I, equals, 29HI=29, and G, I, equals, 41GI=41, find the perimeter of triangle, G, H, I△GHI. Round your answer to the nearest tenth if necessary.

Answer 1

To find the perimeter of triangle GHI, add up the lengths of all three sides: HI, GI, and GH. Therefore, the perimeter of triangle GHI is approximately 29 + 41 + 70 = 140 units.

To find the perimeter of triangle GHI, we need to add up the lengths of all three sides. Given that HI = 29 and GI = 41, we still need to find GH.

We can use the fact that the sum of the lengths of two sides of a triangle is always greater than the length of the third side (Triangle Inequality Theorem). So, GH must be less than HI + GI, which is 70.

Since GH cannot be longer than 70, we know that its length is less than 70. Therefore, the perimeter of triangle GHI is approximately 29 + 41 + 70 = 140 units.

The probable question may be:

If DE=72, EF=58, DF=82, HI=29, and GI=41, find the perimeter of △GHI. Round your answer to the nearest tenth if necessary.