All categories

2 years ago

true or false? the incenter of a triangle is the center of the only circle that can be inscribed in it.

Mathematics

2 answers:

Genrish500 [490]2 years ago

3 0

This is true, the definition of incenter is the <span>point forming the origin of a circle within a triangle

</span>

Fudgin [204]2 years ago

3 0

Answer: True.

Step-by-step explanation:

True, the incenter of a triangle is the center of the only circle that can be inscribed in it.

Because, incenter is the point of intersection of the all the angle bisectors of the three angles of the triangle which divided the each angle into two parts.

Hence, the incenter is the radius of the only largest circle that can be inscribed in it.

You might be interested in

Find angles b,c and d

Mazyrski [523]

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

$b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\$

8 0

2 years ago

Can someone please help me with this?

mash [69]

Answer:

see explanation

Step-by-step explanation:

∠c = ∠ a = 47° ( vertical angles )

∠c and ∠b form a straight angle and are supplementary, thus

∠c + ∠b = 180, that is

47 + ∠b = 180 ( subtract 47 from both sides )

∠b = 133°

∠d = ∠b = 133° ( vertical angles )

That is a = c = 47° and b = d = 133°

The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°

360° is the sum of the angles round a point , hence answer is correct

3 0

2 years ago

Which are dependent events?

mezya [45]

Answer:

D. taking two marbles from a box without replacing the first marble are dependent events

$----------$

hope it helps

have a great day!!

6 0

2 years ago

Read 2 more answers

(URGENT) I just need to know how you do this... please give a detailed answer on what to do!

enyata [817]

You simplify the equation and you use a x y chart and once you get all the points from simplifying the equation you graph those points on the graph chart then connect them

4 0

2 years ago

Triangle ABC is a right triangle. The legs of the triangle are AB = 6 cm and BC = 12 cm. Find the measure of angle A.

Mnenie [13.5K]

Answer:

63.4°

Step-by-step explanation:

Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.

By definition, the tangent of angle A is:

tan(∠A) = opposite leg / adjacent leg

tan(∠A) = BC/AB

tan(∠A) = 12/6

∠A = arctan(2)

∠A = 63.4°

8 0

2 years ago