Yes, a triangle with sides 7, 10, and 12 can be a right triangle. We can determine if a triangle is a right triangle by using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the longest side of the triangle is 12, which can be assumed to be the hypotenuse. So, we need to check if 7^2 + 10^2 is equal to 12^2.
49 + 100 = 169
The sum of the squares of the lengths of the other two sides is indeed equal to the square of the length of the longest side.
Since 49 + 100 = 169, we can conclude that the triangle with sides 7, 10, and 12 is a right triangle.
Can a triangle with sides 7, 10, 12 be a right
triangle? How do you know?
1 answer