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3 years ago

Triangle ABC is isosceles. What are the steps you would take to construct the perpendicular bisector for segment AB.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

6 0

Answer:

look at my Step-by-step explanation

Step-by-step explanation:

The perpendicular bisector of a line segment

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Proof. top.

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ycow [4]

Answer-

Area of the triangle is 10 sq.units

Solution-

We know that,

$\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]$

Taking,

(x₁, y₁) = (3, 3)

(x₂, y₂) = (3, -1)

(x₃, y₃) = (-2, -5)

Then putting these in the formula,

$\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]$

$=\dfrac{1}{2}[3(4)+3(-8)-2(4)]$

$=\dfrac{1}{2}[12-24-8]$

$=\dfrac{1}{2}[-20]$

$=-10$

As area can not be negative, ignoring negative sign,

$\text{Area of the triangle}=10$

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3 years ago

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pochemuha

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Triangle ABC is isosceles. What are the steps you would take to construct the perpendicular bisector for segment AB.​

Triangle ABC is isosceles. What are the steps you would take to construct the perpendicular bisector for segment AB.