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3 years ago

What is the length of the hypotenuse triangle

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

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In triangle $ABC,$ $AB = BC = 17$ and $AC = 16.$ Find the circumradius of triangle $ABC.$

sweet-ann [11.9K]

Answer:

$R = 9.63\ units$

Step-by-step explanation:

Given

$AB = BC = 17$

$AC = 16$

Required

Determine the circumradius, R

The circumradius is calculated as follows;

$R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}$

Substitute the values of AB, BC and AC

$R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}$

Evaluate the denominator

$R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}$

$R = \frac{4624}{\sqrt{230400}}$

Take square root of 230400

$R = \frac{4624}{480}$

$R = 9.63\ units$ (Approximated)

Hence, the circumradius is 9.63

6 0

3 years ago

Factor out the common terms 6m - 21p

Ivenika [448]

Answer:3(2m-7p)

Step-by-step explanation:

you just divide each number by a common factor

4 0

3 years ago

Amars dog eat 1 1/4 of dry dog food everyday. How many days will a 35-pound bag of dog food last?

Ivanshal [37]

Answer:

28 Days

Step-by-step explanation:

35 divided by 1.25 is 28

3 0

3 years ago

PLEASE HELP ME.....

Virty [35]

Answer:

They would meet each other at $01 : 24$ PM.

Step-by-step explanation:

Erik took a trip to see his friend Mike who lives 308 miles away.

He left his place at 10 AM driving at 70 mph.

In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph.

As Erik left his house at 10 AM driving at 70 mph and in 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. It means

Erik left his place at 12:00 PM noon.

so, at 12:00 PM Erik had already traveled:

$2\times 70=140\:\:miles$