Question

Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.

Two triangles, A B C and C B D, with segment C D connecting vertex C with a point D on side A C. Angle C D B is a right angle. Segment C B is 23.2, segment B D is 14.6 and segment C A is 28.6.

Group of answer choices

36.83

22.20

18.03

7.20

Answer 1

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

What is the length of segment AD?

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

Find out more on the Pythagorean theorem at https://brainly.com/question/343682.

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