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katrin [286]
3 years ago
7

a right triangle has a hypotenuse with a length of 25. the lengths of the legs are whole numbers. what could be possible lengths

of the legs?
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer: 7 and 24

Step-by-step explanation: 7,24,25 is a set of pythagorean triples. 7 squared is 49, 24 squared is 576 and if you add the square of the two legs you get the square of the hypotenuse. (7 x 7) + (24 x 24) = (25 x 25)

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Help plz,BIG POINTS,also plz show me the steps as best as possible
Sidana [21]

Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM  = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18  = 26

Let, PQ = x  , QR = y, QM = z

Applying Pythagoras Theorem in ΔPQR

PQ^2+QR^2=PR^2

x^2+y^2=(26)^2..[1]

Applying Pythagoras Theorem in ΔPQM

PM^2+QM^2=PQ^2

8^2+z^2=(x)^2..[2]

Applying Pythagoras Theorem in ΔQMR

MR^2+QM^2=QR^2

18^2+z^2=(y)^2..[3]

Putting values of x^2 and y^2 from [2] and [3 in [1].

8^2+z^2+18^2+z^2=(26)^2

2z^2=(26)^2-(8)^2-(18)^2

2z^2=288

z^2=144

z = ±12

z = 12 = QM ( ignoring negative value)

The length of QM is 12.

6 0
3 years ago
Find the product (-3/5) (-2/9)
Temka [501]
I think the answer is 2/15
8 0
3 years ago
Read 2 more answers
There are 420 students. 63 students were out sick. What percent of the student population is ill?
emmainna [20.7K]
To find the percentage,here's what we can do:
\frac{student \: out \: sick}{original \: population} \times 100\%

The percentage would then be:
=63/420×100%
=3/20×100%
=0.15×100%
=15%

Therefore the answer is 15%.

Hope it helps!
3 0
3 years ago
Read 2 more answers
Solve for v: -10=-5/4v
vagabundo [1.1K]

Answer:

v = 8

Step-by-step explanation:

-10= -5/4v first multiply both sides of the equation by -4/5

-10(-4/5) = v this cancels out the right side.

multiply the left side.

so you are left with 40/5 = v

next, simplify you will get 8=v

8 0
3 years ago
Read 2 more answers
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
lesya692 [45]

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

7 0
3 years ago
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