Q. A triangle has sides with lengths of 14miles, 15miles, and 18miles. Is it a right triangle?Choices:(A)yes(B)no
Identify longest side: Step 1: Identify the longest side to test for the hypotenuse.Given side lengths: 14 miles, 15 miles, 18 miles.The longest side, which could be the hypotenuse, is 18 miles.
Apply Pythagorean Theorem: Step 2: Apply the Pythagorean Theorem to check if it's a right triangle.Using the formula a2+b2=c2, where c is the hypotenuse.Calculate 142+152 and compare it to 182.142=196, 152=225, 182=324.196+225=421.
Compare sum of squares: Step 3: Compare the sum of squares of the shorter sides to the square of the longest side.421 does not equal 324.Since 421=324, the triangle is not a right triangle.
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