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A triangle has side lengths 4 inches 5 inches and 7 inches Is the triangle a right triangle?

A triangle has side lengths 4 inches 5 inches and 7 inches Is the triangle a right-example-1
User Corbett
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1 Answer

3 votes

Answer:

Explanation:

To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's label the sides of the triangle as follows:

a = 4 inches

b = 5 inches

c = 7 inches

Using the Pythagorean theorem, we can calculate:

c^2 = a^2 + b^2

7^2 = 4^2 + 5^2

49 = 16 + 25

49 = 41

Since 49 does not equal 41, this means that the triangle is not a right triangle.

Therefore, the answer is no, the triangle is not a right triangle.

User Bhavesh Lathigara
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8.3k points