Mathematics : asked on tangia
 16.11.2020

one leg of a right triangle is 5 more than the other leg the hypotenuse is one more than twice the size of the short leg find the dimension of the triangle

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Step-by-step answer

09.07.2023, solved by verified expert
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Short leg be x

Perpendicular=P=xBase=B=x+5Hypotenuse=H=2x+1

Apply Pythagorean theorem

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

Take positive

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

P=5.1B=10.1H=11.2
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Faq

Mathematics
Step-by-step answer
P Answered by Master

Short leg be x

Perpendicular=P=xBase=B=x+5Hypotenuse=H=2x+1

Apply Pythagorean theorem

\\ \rm\Rrightarrow  P^2+B^2=H^2

\\ \rm\Rrightarrow  x^2+(x+5)¥2=(2x+1)^2

\\ \rm\Rrightarrow  x^2+x^2+10x+25=4x^2+4x+1

\\ \rm\Rrightarrow  2x^2+10x+25=4x^2+4x+1

\\ \rm\Rrightarrow  4x^2-2x^2+4x-10x+1-25=0

\\ \rm\Rrightarrow  2x^2-6x-24=0

\\ \rm\Rrightarrow  x^2-3x-12=0

\\ \rm\Rrightarrow  x=\dfrac{3\pm\sqrt{9+48}}{2}

\\ \rm\Rrightarrow  x=\dfrac{3\pm \sqrt{57}}{2}

\\ \rm\Rrightarrow  x=\dfrac{3\pm 7.2}{2}

\\ \rm\Rrightarrow  x=1.5\pm 3.6

Take positive

\\ \rm\Rrightarrow  x=1.5+3.6=5.1

P=5.1B=10.1H=11.2
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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