All categories

2 years ago

Geometry question! Help!

Mathematics

1 answer:

Karolina [17]2 years ago

8 0

Answer: $2\sqrt{2}$

Step-by-step explanation:

The inradius is given by the area of the triangle divided by the semiperimeter.

The semiperimeter is $\frac{12+12+8}{2}=16$ .

Thus, by Heron's formula, the area is $\sqrt{16(16-12)(16-12)(16-8)}=32\sqrt{2}$ .

Therefore, the radius is $\frac{32\sqrt{2}}{16}=2\sqrt{2}}$

You might be interested in

A gym allows members to attend two free strength-building classes each month as part of their $40 monthly membership fee. If the

MariettaO [177]

Answer:

m = 10

Step-by-step explanation:

fjfnbwdhw she djb2dh2bdub2jdb3udje <<< just for filler

6 0

3 years ago

I need Help!! Please Help me!! I will give Brainliest!!!

IrinaK [193]

Answer:

1. 150% 2. 14%

Step-by-step explanation:

4 0

3 years ago

Please help me with this question.

Alina [70]

0.80 * 0.80 = 0.64
Hope this helps :)

4 0

3 years ago

Read 2 more answers

Please help, thank you

madam [21]

Answer:

$\displaystyle x=\frac{-8\pm\sqrt{(8)^2-4(4)(-221)}}{2(4)}\ \text{; x = 6.5 and x = -8.5}$

Step-by-step explanation:

Subtract the right side of the given equation to put it into standard form:

4x² +8x -221 = 0

Then the coefficients used in the quadratic formula are ...

a = 4
b = 8
c = -221

When these are filled into the form ...

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

the result is as shown above.

7 0

4 years ago

Find the distance between the pair of points.<br> (-7,4) and (2,-5)

frez [133]

Answer:

$length = \sqrt{ {(x _{2} - x _{1} ) {}^{2} + (y _{2} - y _{1} )}^{2} } \\ = \sqrt{ {(2 - ( - 7))}^{2} + {( - 5 - 4)}^{2} } \\ = \sqrt{ {9}^{2} + {( - 9)}^{2} } \\ = \sqrt{81 + 81} \\ \sqrt{162} \\ = 12.7 \: units$

5 0

3 years ago