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1 year ago

What is the diameter of the inscribed circle of the triangle?

Mathematics

1 answer:

Fofino [41]1 year ago

6 0

The value of diameter for the given triangle inscribed in a circle will be 22.

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

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

As per the given triangle inscribed a circle.

The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.

x + 2 = 2x - 7

2 = 2x - x - 7

x = 9

Thus, radius = 9 + 2 = 11

Diameter = 11 x 2 = 22 units.

Hence "The value of diameter for the given triangle inscribed in a circle will be 22".

To learn more about the circle,

brainly.com/question/266951

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Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters. Th

Tatiana [17]

The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.

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3 years ago

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If anyone’s good with geometry, help me out please. I would really appreciate it.

lakkis [162]

Answer: X=2, PR=40

Step-by-step explanation:

given that the two triangles are equal/congruent

------------------------

solve for x

10x+5=25

10x=20

x=2

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solve for y

33=7y-2

35=7y

y=5

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solve for PR

PR=8y

PR=8(5)

PR=40

Hope this helps!! :)

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3 years ago

BRAINLIEST TO CORRECT

Helga [31]

I think it’s b
have a nice day

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3 years ago

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I need to work out x

frutty [35]

Answer:

9,765 cm

Step-by-step explanation:

We'll solve out the measurements for triangle ABC then it will be easy to figure out x

For triangle ABC, we have

Angle B = 90 degrees.

Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).

Angle C = 180 - 90 - 38 = 52 degrees.

To find the measurement of the BC line, which we label a, we know that

$\frac{a}{sin(A)} = \frac{c}{sin(c)}$

So, we can isolate the a to get:

$a = \frac{c * sin(A)}{sin(c)} = \frac{25 * sin(38)}{sin(52)} = 19.53$

Now we know the segment BC is 19.53 cm.

And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.

So, CD is half of BC.... so 19.53 / 2 = 9.765 cm

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3 years ago

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dybincka [34]

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Step-by-step explanation:

Not asking specific group or person.

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