lilyginger912 lilyginger912

03-07-2020
Mathematics

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Given △ABC, AD = 5, BC = 20, AC = 11 BD is an altitude Find: AB

WILL GIVE BRAINLIEST IF DONE!

Given ABC AD 5 BC 20 AC 11 BD is an altitude Find ABWILL GIVE BRAINLIEST IF DONE class=

Respuesta :

Newton9022 Newton9022

08-07-2020

Answer:

13 Units

Step-by-step explanation:

In Triangle BCD

DC=DA+AC

DC=5+11=16

Since BCD is a right triangle

BC²=BD²+DC²

20²=BD²+16²

BD²=20²-16²

BD²=144

BD²=12²

BD=12 Units

In Right Triangle BAD

AB²=BD²+AD²

=12²+5²

=144+25

=169

AB²=13²

Therefore, AB=13 Units

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