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Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.

Area of trian...

Question

Area of triangle formed by angle bisectors of coordinate axes and the line $y = 6$ in sq.units is

36

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24

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72

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Solution

The correct option is D $36$
$y = x$ & $y = - x$ are angle bisectors of co ordinate axes
So, triangle formed is $Δ A B C$
Area of $Δ A B C = \frac{1}{2} \times A D \times B C$
$= \frac{1}{2} \times 6 \times (12)$
$= 36 s q . u n i t s$

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Area of triangle formed by angle bisectors of coordinate axes and the line y=6 in sq.units is

The correct option is D 36y=x & y=−x are angle bisectors of co ordinate axesSo, triangle formed is ΔABCArea of ΔABC=12×AD×BC=12×6×(12)=36sq.units

Area of triangle formed by angle bisectors of coordinate axes and the line $y = 6$ in sq.units is

The correct option is D $36$
$y = x$ & $y = - x$ are angle bisectors of co ordinate axes
So, triangle formed is $Δ A B C$
Area of $Δ A B C = \frac{1}{2} \times A D \times B C$
$= \frac{1}{2} \times 6 \times (12)$
$= 36 s q . u n i t s$