All categories

2 years ago

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long

Mathematics

1 answer:

Lelu [443]2 years ago

6 0

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

You might be interested in

Estimate by round

Svetach [21]

Answer:

Here is the answer before rounding

1.) 45.36

2.) 97/22

3.) 24.48

Here is the answer after rounding

1.) 45.4

2.) 4.4

3.) 24.5

Hope this helps! If so add me on Brainliest please!

Step-by-step explanation:

3 0

3 years ago

Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

2 years ago

HELP PLEASE, Last course I need to finish and I'm a 40%, need help getting to a 60%.... do not comment, if your not willing to h

zheka24 [161]

Please ask some questions and I will assist to the best of my abilities. <span />

3 0

2 years ago

Read 2 more answers

Someone plz help to become brainliest and get points !! :) plz answer truthfully

Ilia_Sergeevich [38]

Total number of cubic inches of cheese sauce in container = Volume of cylinder = $\pi .8^2.7$

Option A is correct.

Step-by-step explanation:

The diameter of cylinder = 16 inches

The height of cylinder = 7 inches

Total number of cubic inches of cheese sauce in container = Volume of cylinder = ?

The formula used to find Volume of cylinder is:

$Volume=\pi r^2h$

We are given diameter of cylinder while we need radius according to formula.

So, radius = diameter/2

radius = 16/2

radius = 8

Putting values and finding volume:

$Volume=\pi .8^2.7$

So, Total number of cubic inches of cheese sauce in container = Volume of cylinder = $\pi .8^2.7$

Option A is correct.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

#learnwithBrainly

8 0

3 years ago

4y-14=18. Hahahahahahahaahahaha

Setler [38]

Answer:

4y = 18+14

4y = 32

y = 32/4

y = 8

mark brainliest!

5 0

3 years ago

Read 2 more answers

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long​

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long