Determine the third side measure that will form a right triangle if two of the sides are 7 and 24. HELP ME?

Question

Determine the third side measure that will form a right triangle if two of the sides are 7 and 24.
25
27
does not exist
40

THANKS

Answer 1

For a right triangle, you get to use the Pythagorean Theorem.

a^2 + b^2 = c^2.

You have 2 sides, so 7^2 + 24^2 = 625

square root of 625 = 25, so the third side is 25

In response to 'tkquestion' answer below, since the set of possible answers (given by the asker) were all *larger* than two sides given, you must assume that the 3rd side is the hypotenuse, thus there is only 1 way to solve this problem, not two.

Answer 2

You can do this in two different ways.

Knowing two sides are 7 and 24, but not knowing which ones they are, there are two possibilities.

C^2 = 7^2 + 24^2 assumes hypotenuse are unknown
24^2 = 7^2 + B^2 assumes 24 is the hypotenuse

Solve for C and B and you get your answer.

Answer 3

Pythagoras' theorem states (and he's appropriate in pointing out that): given a top angled triangle with component a and b, and hypotenuse c, the size of the three factors are: a^2 + b^2 = c^2. this would desire to remedy the two one among your questions.

Answer 4

7^2+24^2=c^2
49+576=c^2
c^2=625
c=25

The answer is 25.