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What is the length of segment AD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share segment AB and angle B is a right angle, the measure of angle CAB is 34 degrees, the measure of angle BDA is 31 degrees, and the measure of segment AB is 3 units 1.55 units 3.5 units 4.9 units 5.82 units

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Answer: 5.83 units

Step-by-step explanation:

Sketching the data above,

Length of segment AD can be computed using Pythagoras rule ;

Where segment AD = hypotenuse

Segment AB = 3 = opposite

Sin Θ = opposite / hypotenuse

Sin 31° = 3 / hypotenuse

Hypotenuse × 0.5150380 = 3

Hypotenuse = 3 / 0.5150380

Hypotenuse = 5.8248120 units

Hypotenuse = 5.83 units

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The length of segment AD is 5.82 unit.

What is a Triangle ?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon with three sides.

It is given that

triangles ABC and ABD in which the triangles share segment AB and

angle B is a right angle,

the measure of angle CAB is 34 degrees,

the measure of angle BDA is 31 degrees,

the measure of segment AB is 3 units

To determine the length of AD

[tex]\rm sin \theta = \dfrac{AB}{AD}[/tex]

sin 31° = 3/ AD

AD = 3/sin31

AD = 3/0.515

AD = 5.82 units

Therefore the length of segment AD is 5.82 unit.

To know more about Triangle

https://brainly.com/question/2773823

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