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3 years ago

What are ways using coordinate geometry, that I could determine that this is a trapezoid?

Mathematics

1 answer:

NemiM [27]3 years ago

3 0

One method to see it's a trapezoid is to find the slope of lines BC and AD.

The slope formula is

m = (y2-y1)/(x2-x1)

You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.

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To prove this trapezoid is isosceles, you can use the distance formula

$d = \sqrt{ \left(x_1-x_2\right)^2 + \left(y_1-y_2\right)^2}$

to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.

Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.

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1. In triangle ABC, if AB = 3cm, BC = 4cm and AC = 5cm Find

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

A) The diagram of the triangle is shown in the attached photo

The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.

Area = 1/2 × base × height

Height = 3 cm

Base = 4 cm

Area = 1/2 × 3 × 4 = 6 cm²

B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm

The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,

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3 years ago

Find The value of x, y and z

Ratling [72]

Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

$= > 3x - 42 = 12$

$= > 3x = 42 + 12 = 54$

$= > x = \frac{54}{3} = 18$

Also, both the base angles will be equal.

$4y - 1 = 39$

$= > 4y = 39 + 1 = 40$

$= > y = \frac{40}{4} = 10$

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

$z + 39 + 39 = 180$

$= > z + 78 = 180$

$= > z = 180 - 78 = 102$

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3 years ago

How do u find ratios for a ratio

poizon [28]

Answer:

you simplify it? I dont really know. :/

Step-by-step explanation:

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3 years ago

What is y 12y - 19= 6y+1=

nadezda [96]

Answer:

Step-by-step explanation:

12y-19= 6y+1

12y-6y = 1 +19

6y = 20

y = 20/6

y= 10/3 or 3.33..

<h2><u><em>HAVE A NICE TIME :)</em></u></h2><h2><em>pls give a </em><u><em>brainliest</em></u><em> if it is CORRECT</em></h2>

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2 years ago

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Anestetic [448]

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