Question
If TLAV is a square, what is VC?
- 7
- 30
- 4
- 6
The correct answer is: 4
we are given that TLAV is a square and we are asked to find the value of VC
In a square, the diagonals are congruent and bisect each other.
TP = PL = PA = VP = 17 cm
We know that the diagonals of a square are perpendicular to each other.
TAꞱVL …(1)
In quadrilateral TCAD, the diagonals TA and CD are perpendicular to each other. [From (1)]
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. So, TCAD is a rhombus.
Since the diagonals of a rhombus bisect each other, so, CP = PD = 13 cm.
Now, VC = VP - CP
= 17 - 13
= 4 cm
Therefore using the property of the square we find the value of VC as 4cm
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