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Is a triangle with side lengths 21,20 and 29 a right triangle show why or why not .

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User Mwe
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2 Answers

7 votes
no because a right triangle must be 90 degrees
1 vote

Explanation:

Yes, we can determine whether a triangle is a right triangle or not by using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle as follows: side a = 21, side b = 20, and side c = 29 (where c represents the hypotenuse). Now, we can use the Pythagorean Theorem to check whether the triangle is a right triangle or not:

c^2 = a^2 + b^2

Substituting in the given values, we get:

29^2 = 21^2 + 20^2

841 = 441 + 400

841 = 841

As the equation is true, we can conclude that the triangle is a right triangle.

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User DPG
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