Answer:
AC. BD. 2 In the accompanying diagram of right triangle ABC, altitude BD is drawn to ... BD. AC. 3 In the diagram below, the length of the legs AC and. BC of right triangle ABC are 6 cm and 8 cm, ... BC. If BD = 2 and DC = 10, what is the length of AB? ... hypotenuse RS. If RV = 12 and RT = 18, what is the length of SV? 1) 6 5.
The length of DC in triangle ABC is 3.
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:
The square of the hypotenuse (longest side) = sum of the square of the two other legs
From the diagram:
AC² = BC² + AB²
Hence:
12² = 6² + AB²
AB = 10.4
Triangle ABC and ABD are similar, hence:
AD / AB = AB/AC
AD / 10.4 = 10.4 / 12
AD = 9
AD + DC = AC
9 + x = 12
x = 3
The length of DC in triangle ABC is 3.
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