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2 years ago

Find the length of AD

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

The length of AD is 5 units. so, option A is the correct answer.

<h3>What is the Pythagoras theorem?</h3>

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The length of DC is given as 13 units.

The length of AC is given as 12 units. We can see that angle D is a right angle, so the triangle will be a right-angle triangle.

by Pythagoras theorem;

$DC ^2 = AD^2 + AC^2\\\\13^2 = AD^2 + 12^2\\\\AD^2 = 169 - 144\\\\AD^2 = 25\\\\AD = 5$

Hence, the length of AD is 5 units. so, option A is the correct answer.

Learn more about Pythagoras theorem;

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