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If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2 Ab /√ b4+4A2.
Ans: Let QR = b
A = Ar(ΔPQR)
A = 1/2 x b x PQ
PQ = 2A/b ...........................(1)
Δ PNQ ∼ ΔPQR (AA)
⇒ PQ/PR = NQ/QR .....................(2)
From Δ PQR
PQ2 + QR2 = PR2
4A2/ b2 + b2 = PR2
Equation (2) becomes
2 A/bxPR = NQ/b
NQ = 2A/PR
NQ = 2 A/√4 A2 + b4
vwertical and horizontal
x^2 + 10x +2 4
How the property AM>or = GM used to get minimum value of the function......e,g for what condition of a and b does minimum value of a tan^2 x + b cot^2 x equals maximum value of a
Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and Answer: antisymmetric
can i get some triangle congruence proofs help?
4 8/16+1/
ABCD is a parallelogram which AB and CD are divides by P and Q. Such that AP:PB=3:2 and CQ:QD=4:1. If PQ and AC are meet at R, show that AR=3/7AC.
#questiowhat is 1+1n..
how do you do it
similarities between rectangle & parallelogram
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