you cut a picture into a right triangle for your scrapbook. The lengths of the legs of the triangle are 4 inches and 6 inches. I

Question

mr_godi [17]

3 years ago

15

you cut a picture into a right triangle for your scrapbook. The lengths of the legs of the triangle are 4 inches and 6 inches. I

s the length of hypotenuse a rational number? Explain.

Mathematics

2 answers:

tigry1 [53] · Answer 1 · 2022-07-05T18:40:37+03:00

tigry1 [53]3 years ago

5 0

Yes because both A and B are rational, therefore when you solve using the Pythagorean theorem C will be rational as well.<span />

evablogger [386] · Answer 2 · 2022-07-05T21:02:40+03:00

Answer:

Its hypotenuse √52 and thus is not a rational number

Step-by-step explanation:

To solve this problem, we will follow the steps below;

If length of the legs of the triangle are 4 inches and 6 inches, to find the length of the hypotenuse, we will simply use the formula from the hypotenuse triangle;

hypotenuse² = opposite² + adjacent²

= 4² + 6²

= 16 + 36

hypotenuse² = 52

hypotenuse = √52

hypotenuse =7.2111025509.........

Therefore hypotenuse is not a rational number because the 52 is not a perfect square and thus √52 has an unending values