The sides of triangle are 61 cm, 54 cm and 35 cm respectively. The len

1.	The sides of triangle are 61 cm, 54 cm and 35 cm respectively. The length of its longest altitude is: 1. 10 √5 cm 2. 16 √5 cm 3. 24 √5 cm 4. 28 √5 cm
Answer» 3. 24 √5 cm Longest altitude corresponds to shortest side = h₃₅ s = 75 Δ = \(\sqrt{(75)(14)(21)(40)}\) = \(\sqrt{25\times3\times2\times7\times7\times3\times4\times5\times2}\) = \(420\sqrt{5}\) ∴ \(\frac{1}{2}\) x 35 x h₃₅= \(420\sqrt{5}\) h₃₅= \(24\sqrt{5}\)

The sides of triangle are 61 cm, 54 cm and 35 cm respectively. The length of its longest altitude is: 1. 10 √5 cm 2. 16 √5 cm 3. 24 √5 cm 4. 28 √5 cm

Answer»

3. 24 √5 cm

Longest altitude corresponds to shortest side = h₃₅

s = 75

Δ = \(\sqrt{(75)(14)(21)(40)}\)

= \(\sqrt{25\times3\times2\times7\times7\times3\times4\times5\times2}\)

= \(420\sqrt{5}\)

∴ \(\frac{1}{2}\) x 35 x h₃₅= \(420\sqrt{5}\)

h₃₅= \(24\sqrt{5}\)

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The sides of triangle are 61 cm, 54 cm and 35 cm respectively. The length of its longest altitude is: 1. 10 √5 cm 2. 16 √5 cm 3. 24 √5 cm 4. 28 √5 cm

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