One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg? A. about 7 units B. about 15 units C. about 25 units D. about 122 units E. about 224 units

Respuesta :

Answer:

A

Step-by-step explanation:

We can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex], where a and b are the two legs and c is the hypotenuse.

Plug in what we know:

[tex](10)^2+b^2=(12)^2[/tex]

[tex]100+b^2=144[/tex]

[tex]b^2=44[/tex]

[tex]b=\sqrt{44}\approx 6.63\approx7[/tex]

Answer:

About 7 units

Step-by-step explanation:

Since it is a right triangle we apply Pythagoras theorem

[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]

a= square root(144 - 100)

a = about 7

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