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Label the lengths of the sides of the right triangle below

Label The Lengths Of The Sides Of The Right Triangle Below class=

Sagot :

Answer:

See attachment.  7 and 24 (units not given)

Step-by-step explanation:

The sides of a right triangle will follow the Pythagorean Theorem:

A^2 + B^2 = C^2

We are given some options, so let's start with assuming the hypotenuse, C, is the largest of the numbers and see if we can find two smaller lengths that, when squared, will equal the square of the hypotenuse.

25^2 = 625

The other squares:

4^2    =   16

7^2    =   49

12^2   = 144

24^2  = 576

I quickly note that the 49 and 576 come close (or exactly) to the 625 we need, and the sum of their last digits results in a 5, so add them:

567

49

625

Therefore, the two sides are  7 and 24 (units, such as cm, m, feet, etc,)

If two numbers couldn't be found that meet the criteria, go to the next lowest number for the hypotenuse and repeat the process.

View image rspill6