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Question
A triangle has sides 5 cm, 12 cm and 13 cm. Find the length of the perpendicular from the opposite vertex to the side whose length is 13 cm.
A triangle has sides 5 cm, 12 cm and 13 cm. Find the length of the perpendicular from the opposite vertex to the side whose length is 13 cm.
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Solution
The correct option is C 4.6 cm
Given triangle is a right angled triangle.
25 -- AD2 = 144 -- (13 -- AD)2
⇒ AD = 25/13
∴ x = √{25−(2513)2}
⇒ x = 60/13 ≈ 4.6 cm
4.6 cm
Given triangle is a right angled triangle.
25 -- AD2 = 144 -- (13 -- AD)2
⇒ AD = 25/13
∴ x = √{25−(2513)2}
⇒ x = 60/13 ≈ 4.6 cm
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