Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l
ength of A B is 8, the length of B C is 5, and the length of B D is 15.
What is the value of s?
units
What is the value of s?
units
2 answers:
Answer: Line s = 17 units
Step-by-step explanation: Please refer to the attached diagram.
The triangle ACD is drawn and labeled such that line BD extends from point D and forms a right angle at point D. A careful observation shows that we now have two right angled triangles. One is DAB and the other is DCB. The unknown side ‘s’ lies on triangle DAB, hence we shall use the available dimensions in DAB. Line AD or a, is the hypotenuse (side facing the right angle). We can now apply the Pythagoras theorem since we have been given the other two sides.
The theorem states that,
AD^2 = DB^2 + AB^2
AD^2 = 15^2 + 8^2
AD^2 = 225 + 64
AD^2 = 289
Add the square root sign to both sides of the equation
AD =17.
Therefore, s measures 17 units
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