TS EAMCET · Maths · Properties of Triangles
A triangle has area of square units and circumference units. If and are respectively the length of the altitudes of the triangle drawn from the vertices and then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Let, the sides of the triangle ABC are a, b, c units and the corresponding heights are h1, h2, h3 units respectively. Then the circumference is a+b+c=2S and area is P=12ah1=12bh2=12ch3 ⇒h1=2Pa, h2=2Pb, h3=2Pc. Now P2h1h2+h2h3+h3h12h12h22h32-2…
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