Question
A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is it?
A.
equilateral triangle
B.
acute triangle
C.
right triangle
D.
isosceles triangle
A.
equilateral triangle
B.
acute triangle
C.
right triangle
D.
isosceles triangle
Answers
GPT-4o mini
A triangle with sides measuring 3 cm, 4 cm, and 5 cm is classified as a right triangle. This can be confirmed using 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.
In this case, we check:
\[
3^2 + 4^2 = 5^2
\]
\[
9 + 16 = 25
\]
Since both sides of the equation are equal, the triangle is indeed a right triangle.
Thus, the correct answer is:
C. right triangle
In this case, we check:
\[
3^2 + 4^2 = 5^2
\]
\[
9 + 16 = 25
\]
Since both sides of the equation are equal, the triangle is indeed a right triangle.
Thus, the correct answer is:
C. right triangle