The incenter is the center of the largest circle that can be inscribed in the triangle. That circle is called the incircle. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the inradius (the radius of the incircle), is found from a simple formula:

r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs

In your triangle, the inradius is ...

r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452

Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...

incenter ≈ (-1.92, 1.08)

4 0

3 years ago

Elimination using addition and subtraction. -4x+4y=-20 -2x+4y=-2

goldfiish [28.3K]

I would subtract the 2nd from the first one

so -4x - -2x = -2x

4y - 4y = 0

-20 - -2 = -18

-2x = -18

now I would divide that by -2 to get the value for x

so no we have x = 9

now you just have to substitute that into one of the equations and simplify to get y

-2 X 9 + 4y = -2

-18 + 4y = -2

4y =16

y = 4

3 0

3 years ago

Read 2 more answers

A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If th

gavmur [86]

Answer:

See below.

Step-by-step explanation:

1) Please check the number of volume of steel. It should be 54,259.2

${cm}^{3}$

. Not 54,259.2 cm. Right?

2) If so,

First

The volume of single rod

$= \pi \times ( { \frac{4}{2} })^{2} \times 60= \pi \times {2}^{2} \times 60= 4\pi \times 60= 4 \times 3.14 \times 60= 753.6 {cm}^{3}$

The number of rods

$= \frac{54259.2}{753.6} = 72$

5 0

2 years ago