Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
1. Section 3.1
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Exercise 20 Page 154

Practice makes perfect
a In any right triangle the hypotenuse is always longer than either of its legs. In the given diagram we see that this is not the case. The hypotenuse has a measure of 11 units and one of the legs has a measure of 12 units. Such a right triangle cannot exist.
b In any triangle, the sum of its angle measures has to equal 180^(∘). As long as this holds true for the sum of the angles, the triangle can exist. Let's investigate if this is the case.

26^(∘)+119^(∘)+42^(∘)= 187^(∘) Since the sum of the angles equals 187^(∘), this triangle cannot exist.