Can someone help me with these math problems

A right triangle has a hypotenuse length of 13 units. One leg has a length of 12 units. Which equation can be used to determine

viktelen [127]

a = √(13² - 12²) units

<h3>Further explanation</h3>

<u>Given:</u>

A right triangle has a hypotenuse length of 13 units.
One leg has a length of 12 units

<u>Question:</u>

Which equation can be used to determine the length of the other leg?

<u>The Process:</u>

We will solve a problem regarding right triangles. In the process, there is a relationship between the Pythagorean Theorem with Exponent and Square Root.

Let us find out the equation to determine the length of the other leg. Let the length of the leg as "a".

The Phytagorean Theorem:

$\boxed{ \ (leg)^2 + (leg)^2 = (hypotenuse)^2 \ }$

$\boxed{ \ a^2 + 12^2 = 13^2 \ }$

Subtract by 12² on both sides.

$\boxed{ \ a^2 = 13^2 - 12^2 \ }$

To take the square root on both sides.

So here's the equation that can be used to determine the length of the other leg: $\boxed{\boxed{ \ a = \sqrt{13^2 - 12^2} \ }}$

- - - - - - - - - -

Notes

If we continue working on the above, the results will be as follows:

$\boxed{ \ a = \sqrt{13^2 - 12^2} \ }$

$\boxed{ \ a = \sqrt{169 - 144} \ }$

$\boxed{ \ a = \sqrt{25} \ }$

Hence the length of the other leg equal to a = 5 cm.

Of course, we agree with the use of the right intuition, which is to remember Pythagorean Triples, i.e., $\boxed{ \ 5-12-13 \ }.$ This method is very convenient when working on multiple-choice tests in a limited amount of time.

<h3>Learn more</h3>

What are the lengths of the legs of the triangle? brainly.com/question/13027296
Find out the measures of the two angles in a right triangle brainly.com/question/4302397
A word problem of a quadratic equation brainly.com/question/11805547

5 0

4 years ago

An item is regularly priced at $27. It is now priced at a discount of 45% off the regular price. Find the price now

r-ruslan [8.4K]

The answer would be $12.15

8 0

3 years ago

If J is between H and K and HJ = 3(x + 2), JK = 3x -4 and KH = 44. What is the value of HJ?

Ira Lisetskai [31]

KH = 3(x + 2) + <span>3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27</span>

7 0

3 years ago

The profit that a local technology company makes, plx), in thousands of dollars, based on the selling price of its tablets, x, i

DaniilM [7]

Answer:

(100,300)

Step-by-step explanation:

Just did it and got it right.

3 0

3 years ago

(10 points): My sister Courtney is an assistant professor at a major university and a licensed psychologist. She

grin007 [14]

Answer:

Courtney and her family traveled 14 miles in Mr. De Palma's cab from the airport to the hotel.

Step-by-step explanation:

The total amount of the ride, including tip, was $42.00. Since this amount represents exactly eight times the amount that was received as a tip, 42/8 is $5.25, which is the cost of the tip. The other flat rates associated with the trip is the $3.15 for entry and $1.75 for each additional passenger (1.75 x 3=5.25). Once you subtract these fees from the total amount, $42 - $5.25 (tip) - $5.25 (additional passengers) - $3.15 (entry) = $28.35. Since Mr. De Palma charges $0.45 for every two-ninths of a mile, you take the revised total 28.35/.45 = 63. Since 63 represents the amount for every two-ninths of a mile, you need to multiply this amount by 2/9 to get your total amount of miles, or 63 x 2/9 = 14.

6 0

4 years ago

Can someone help me with these math problems​

Can someone help me with these math problems