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12 votes
A triangle has sides with lengths of 4 inches, 8 inches, and 9 inches. Is it a right triangle?

2 Answers

6 votes

Answer:

No, its not a right triangle

Explanation:


4^(2) +8^(2) =9^(2)

16 + 64 = 81

80 = 81

User Gaurav Saluja
by
6.6k points
10 votes

Answer:


\boxed {\boxed {\sf No, \ not \ a \ right \ triangle}}

Explanation:

If a triangle is a right triangle, it will satisfy Pythagorean's Theorem.


a^2+b^2=c^2

When a and b are the legs of the triangle and c is the hypotenuse.

4 and 8 would be the legs of the triangle. 9 would be the hypotenuse because it is the longest side.


(4)^2 + (8)^2 = (9)^2

Solve the exponents.


16+64=81

Add on the left side of the equation.


80=81\\80 \\eq 81

80 is not equal to 81. The triangle does not satisfy Pythagorean's Theorem, so it cannot be a right triangle.

User Alex Curylo
by
6.9k points