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
2 answers:
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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Answer:
B. 21.2
Step-by-step explanation:
Perimeter of ∆ABC = AB + BC + AC
A(-4, 1)
B(-2, 3)
C(3, -4)
✔️Distance between A(-4, 1) and B(-2, 3):
AB = 4 units
✔️Distance between B(-2, 3) and C(3, -4):
BC = 8.6 units (nearest tenth)
✔️Distance between A(-4, 1) and C(3, -4):
AC = 8.6 units (nearest tenth)
Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units