Question

4. Show that the straight lines represented by 3r+ 48xy + 23y
ines represented by 3r?+ 48xy + 23yº = 0 and 3x - 2y + 13 = 0 form
a
and equilateral triangle of area 13/squareroot 3sq. units.
​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

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