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rusak2 [61]
3 years ago
15

Please help. Question is in the picture

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
Number 4: line XZ; number 5: theory of congruent triangles.
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If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
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A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

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If a scale factor of One-fifth is used to make a reduction, what is the base of the original triangle?
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