MATHEMATICS MIDDLE SCHOOL

What are the properties of perpendicular bisectors and angle bisectors in a triangle?

Answers

Answer 1

Answer:

Answer:

Theory

Step-by-step explanation:

The Perpendicular Bisectors in a triangle,(as the name suggests) perpendicularly bisect the sides of triangle

The point at where all 3 meet is called the Circumcenter

The distance of the Circumcenter from any vertex is same and is equal to circumradius(R)

If a circle is drawn with Circumcenter as center and R as radius, it circumscribes the triangle

The Angle Bisectors in a triangle, are dropped from the vertex to the opposite side.(as the name suggests) It bisects the angle at the vertex of the triangle.

The point at where all 3 meet is called The Incenter

The distance of the Incenter from any of the sides is same and is equal to Inradius(r)

If a circle is drawn with Incenter as center and r as radius,it inscribes the triangle

The angle bisector divides the side it intersects in the ratio of the ratio of other 2 sides

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You start driving north for 3 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point?

Answers

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

Where;

One leg = a = 3 miles

Other leg = b = 4 miles

Hypotenuse = c

Using Pythagoras theorem;

$a^2+b^2=c^2\n(3)^2+(4)^2=c^2\n9+16=c^2\nc^2=25$

Taking square root on both sides

$√(c^2)=√(25)\nc=5$

The straight line distance is 5 miles from starting point.

Answer:

Step-by-step explanation:

3[2]+4[2]=c[2]

9+16=c[2]

$√(25)$ =5

Order from least to greatest 4.08 4.34 4.803 of 4.038

Answers

4.038 , 4.08 , 4.34 , 4.803

E. A semicircular window with a radius of36 inches allows light through an area of how

many square feet? You may use a calculator

if one is available. Round your answer to the

nearest square foot.

Answers

Answer:

14 sq. ft $(14 ft^(2))$

Step-by-step explanation:

First, we know that the area of a circle is $\n A_(circle) =\pi * r^(2)$ , where r is the radius of the circle, and $\pi$ is the ratio of the length of a circle's circumference to its diameter, that is, $\pi$ =3.1415926535 ... . But we have here a semicircle.

So, the area of a semicircle is $\n A_(semicircle) = (1)/(2) (\pi * r^(2))$ .

We also know that 1 feet = 12 inches, so 36 inches are:

$\n (1ft)/(12inches) * 36 inches = 3 ft$

Then, the area of the semicircular window is:

$\n A_(semicircular-window) = (1)/(2) (\pi * 3^(2))$ ≈ 14.1372.

Well, rounding the answer to the nearest square foot, we have that the semicircular window allows light through an area of 14 sq. ft $(14 ft^(2))$ .

What's the question? One hour and 10 minutes later, it was 6:20 P.M.

Answers

You can make a question out of this. What time was it one hour and ten minutes before 6:20 pm

What time was it one hour and 10 minutes ago from 6:20 pm?

Alexandra complete 40 percent of a 50-question assignment.how many questions did she complete?.

Answers

50/100=0.5 - 1% answer
0.5*40=20 answers
Answer: Alexandra complete 20 answers

Which number is greater than 7.23 and less than 7.55? 7.59;7.17;7.6;7.3

Answers

7.3 also written as 7.30

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