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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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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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
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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

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

                           =$2.5

Cost of 7 gallons=$2.5 * 7

                           =$17.5

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