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2 years ago

In the diagram below, if AB = 25, AC = 15, and BD = 5, then find the length of DC.

Mathematics

1 answer:

ivann1987 [24]2 years ago

3 0

The length of DC based on the information given about the triangle is 19.37.

<h3>How to calculate the length?</h3>

Based on the given information, it should be noted that:

AB² = AD² + BD²

25² = AD² + 5²

625 = AD² + 25

AD² = 625 - 25

AD² = 600

AD = √600

AD = 24.5

DC² = AD² + - AB² (Pythagoras theorem)

DC² = 24.5² + 15²

DC² = 375.25

DC = 19.37

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