If a new sweater sells for $49, find the total cost if you were charged 6% sales tax.
1 answer:
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Answer: The length of BC is 22 units.
Explanation:
It is given that the Triangle ABC with horizontal side BC. Vertex A lies above side BC. Angle B and angle C are marked congruent. The length of side AC is labeled as 2x-24. The length of side AB is labeled as x-2. The length of side B C is labeled as x.
If two angles of a triangle are same it means the triangle is an isosceles triangle.
Since the angle B and C are congruent therefore the lines AB and AC are same.
Since the side BC=x therefore the measure of BC is 22 units.
In the figure, ABCD is a trapezoid with legs AB and CD.
Join AC and BD.
For the triangle CAD, from the vertex C, draw an altitude CE and for the triangle ABD, from the vertex B, draw an altitude BF.
Clearly, CE = BF = h (say) --- (1)
Note that the base of the triangles CAD and ABD are the same and is AD.
It is given that ar(CAD) = .
Now, ar(ABD) =
= from (1)
= ar(CAD)
= .
Hence, area of Δ ABD = ..
