**Four consecutive integers have a sum of -118. What is the product of the first and last of these integers?**

*Solution to yesterday’s problem:*

In the figure from yesterday, the triangle is a right triangle, and the hypotenuse is 13 units long. Knowing that 5-12-13 is a Pythagorean triple, we can deduce that and . We’re also given the fact that the ratio , so we can solve a proportion to find the length of side .

Cross multiplying,

So the length of side TU is *18 units*.

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