A triangle with sides of lengths 20, 21, and 29 is a right triangle.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Question
A triangle with sides of lengths 20, 21, and 29 is a right triangle.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Solution
The statement is True. This is because the triangle satisfies the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
In this case: 20² + 21² = 400 + 441 = 841 29² = 841
Since both values are equal, the triangle is a right triangle.
Similar Questions
A triangle with sides of lengths 16, 30, and 35 is a right triangle.A.TrueB.False
A triangle has sides with lengths of 19 millimeters, 26 millimeters, and 30 millimeters. Is it a right triangle?
A triangle has sides with lengths of 40 inches, 50 inches, and 29 inches. Is it a right triangle?
A triangle with sides of lengths 32, 60, and 68 is a right triangle.A.TrueB.False
A triangle has sides with lengths of 7 feet, 24 feet, and 25 feet. Is it a right triangle?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.