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ruslelena [56]
2 years ago
7

From the diagram below, if AC =40, CD=10, and DB=8, then what would be the length of AB?

Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

The length of AB would be 38 units

<h3>How to determine the length AB?</h3>

The attached image represents the missing piece in the question

Considering the triangle BCD;

Calculate the length BC using the following Pythagoras theorem

BC^2 = CD^2 + BD^2

This gives

BC^2 = 10^2 + 8^2

Evaluate

BC^2 = 164

Considering the triangle CBA;

Calculate the length AB using the following Pythagoras theorem

AB^2 = AC^2 - BC^2

This gives

AB^2 = 40^2 - 164

Evaluate

AB^2 = 1436

Take the square root

AB = 38 (approximated)

Hence, the length of AB would be 38 units

Read more about right triangles at:

brainly.com/question/2437195

#SPJ1

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