The points P(3,-2), Q(10,-2), and R(3,-8) are the vertices of a triangle.
What is the approximate length of side RQ?*

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eudora eudora · Answer 1 · 2021-03-16T04:25:07+01:00

Answer:

Option B

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Distance between the given points R(3, -8) and Q(10, -2) will be

RQ = [tex]\sqrt{(3-10)^2+(-8+2)^2}[/tex]

RQ = [tex]\sqrt{49+36}[/tex]

RQ = [tex]\sqrt{85}[/tex]

RQ = 9.22

RQ ≈ 9 units

Option B is the answer.

dubeyshailja64 dubeyshailja64 · Answer 2 · 2022-06-07T11:56:12+02:00

The approximate length of side RQ is 9 units

What is a Triangle ?

A polygon that has three sides , three angles and three vertices is called a triangle.

It is given that the vertices of the triangle is P(3,-2), Q(10,-2), and R(3,-8)

Length of RQ = ?

To determine the length , triangle should be plotted on the graph

After plotting we can determine

PQ = 7 units

PR =6 units

Applying Pythagoras theorem to determine RQ

RQ² = 7² +6²

RQ² = 49+36

RQ = approximately 9 units.

To know more about Triangles

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