A triangle has sides of lengths 16, 63, and 65. Is it a right triangle? Explain.

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

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

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

Evaluate each exponent.

16^2=16*16=256

63^2=63*63=3969

65^2=65*65=4225

Add 256 and 3969

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol