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

A triangle has sides with lengths of 4 inches,

stichgotrich7159

18.01.2022

No, its not a right triangle

Step-by-step explanation:

$4^{2} +8^{2} =9^{2}$

16 + 64 = 81

80 = 81

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chloesmolinski0909

18.01.2022

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

Step-by-step 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.

$80=81\\80 \neq 81$

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

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