Q. 64.0( 5 Votes )
Find value tan 60
The above given ΔABC is an Equilateral triangle with side say 2a.
CD is the median of ΔABC which implies
ΔACD is Right-angled Triangle with ∠ADC = 90°.
Also, as ΔABC is equilateral which means ∠A = ∠B = ∠C = 60°.
∴ In ΔADC,
AD = a, AC = 2a
∴ AC2 = AD2 +CD2(By Pythagoras Theorem)
⇒ (2a)2 +(a)2 +CD2
⇒ 4a2 – a2 =CD2
⇒ CD2 = 3a2
Which gives us CD = √3a
Now as ∠CAD = 60°
Hence, we got the value of tan 60 = √3 geometrically.
Rate this question :
Draw the graph ofNCERT - Mathematics
If<imKC Sinha - Mathematics
If tan θ =0.75, tKC Sinha - Mathematics
Given <a name="MTKC Sinha - Mathematics
If 15 cot A=18, fKC Sinha - Mathematics