Question

Can 4 cm, 7 cm, 9 cm be a right triangle

Answer 1

Answer:

No

Step-by-step explanation:

For it to be a triangle c² = a² + b²

The longest side is c (9)

and 81 ≠ 49 + 16

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Answer 2

Answer:

No

Step-by-step explanation:

Since it might be a right triangle, we can test the values using the Pythagorean theorem.

$a^2+b^2=c^2$

a and b are the legs, and c is the hypotenuse.

We know that 4 and 7 are the legs, or a and b. This is because they are two smaller sides.  We know that 9 is the hypotenuse, or c. This is because it is the longest side.

$4^2+7^2=8^2$

Solve the exponents

$16+49=81$

65=81

$65 \neq 81$

Since 65 does not equal 81, this cannot be a right triangle