Find the length of OC, if CD = 8cm and AD and BC are equal perpendiculars to line segment AB as shown below.

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Solution

The correct option is A 4
$In Δ A O D a n d Δ B O C, ∠ A = ∠ B = 90^{\circ} (given)$
$A D = B C (given)$
$∠ A O D = ∠ B O C (vertically opposite angles)$

$∴ △ A O D ≅ △ B O C$

$So, O C = O D (C P C T)$

$G i v e n, C D = 8 c m . O C + O D = 8 c m O C + O C = 8 c m (A s, O D = O C) 2 (O C) = 8 c m O C = 4 c m .$

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Q. Find the length of OC, if CD = 8cm and AD and BC are equal perpendiculars to line segment AB as shown below.

In the figure given below, AD and BC are equal and perpendicular to the line segment AB. CD cuts AB at O. Then the relation between OC and OD is

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In the figure given below, AD and BC are equal and perpendicular to the same line segment AB. CD cuts AB at O. Then the relation between OC and OD is _____ .

A D

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are equal perpendiculars to a line segment

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Find the length of OC, if CD = 8cm and AD and BC are equal perpendiculars to line segment AB as shown below. 4

The correct option is A 4In ΔAOD and ΔBOC,∠A=∠B=90∘ (given) AD=BC (given) ∠AOD=∠BOC(vertically opposite angles) ∴△AOD≅△BOC So, OC=OD (CPCT) Given, CD=8cm.OC+OD=8cmOC+OC=8cm (As,OD=OC)2(OC)=8cmOC=4cm.

Find the length of OC, if CD = 8cm and AD and BC are equal perpendiculars to line segment AB as shown below.

4