Q. 203.9( 8 Votes )
The largested squ
Answer :
Given, sides of the right angled triangle are 3 cm, 4cm and 5 cm
Let BFDE is the largest square that can be inscribed in the right triangle ABC right angled at B
Also let BF = x cm so AF = 4-x cm
In Δ ABC and Δ AFD
∠ A= ∠ A common
∠ AFD = ∠ ABC (each 90°)
Δ ABC ∼ Δ AFD (by AA similarity)
So
⇒
⇒ 3 (4 - x) = 4x
⇒ 12 - 3x = 4x
⇒ 12 = 7x
⇒ cm
Length of square =
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