Question

In the right triangle ABC shown to the right, what is the length of
AC?
A) 10
B) 14
C) 13
D) 169
E) NOTA

Answer 1

Answer:

The answer is C) 13.

Step-by-step explanation:

To find the hypotenuse (longest side) of a right triangle, you need to use the Pythagorean Theorem. The formula for the hypotenuse is a^2 + b^2 = c^2.

5^2 (five squared) equals 25, and 12^2 (twelve squared) equals 144.

25 + 144 = 169

Next, find the square root of 169. It is 13. 13 is the length of the hypotenuse.

I hope this helped! :)

Answer 2

In the right triangle ABC, the length of the AC is equal to $13$ units.

What is the right triangle?

" Right triangle is defined as a triangle with one of the interior angles with measure equals to $90$ degrees."

Formula used

Pythagoras theorem,

(Hypotenuse)² = ( adjacent side)² + (opposite side)²

According to the question,

In the right triangle ABC,

Adjacent side 'BC' $= 12$ units

Opposite side 'AB' $= 5$ units

'AC' represents the hypotenuse of the right triangle

Substitute the value in the Pythagoras theorem we get,

$AC^{2} = BC^{2} +AB^{2} \\\\\implies AC^{2} = 12^{2} + 5^{2} \\\\\implies AC^{2} = 144 + 25\\\\\implies AC = \sqrt{169} \\\\\implies AC =13units$

Hence, Option(C) is the correct answer.

Learn more about the right triangle here

https://brainly.com/question/6322314

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