In right triangle ABC, angle C is a righ angle, AB=13, and BC=5 .what is the length of AC?
Answers
Answer:
CORRECT ANSWER: AC IS EQUAL TO 12 CM
USE PYTHAGORAS THEOREM
Step-by-step explanation:
SELECT TO BRAINLIST ANSWER ...
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5, then the length of AC = 12.
Given:
In right-angled triangle ABC, angle C is a right angle.
AB=13, and BC=5
To find:
The length of AC
Solution:
Since in right-angled triangle ABC, angle C is a right angle, it implies that in this triangle, AB is the hypotenuse, and BC and AC forms the other 2 sides.
Using the Pythagoras theorem, we can say
AB² = BC² + AC²
Substituting the values of AB and BC, we get
13² = 5² + AC²
=> AC² = 13² - 5²
=> AC² = 169 - 25
=> AC² = 144
=> AC = √144
=> AC = 12
Hence,
the length of AC = 12
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