Perpendicular 40203

In a right triangle, one perpendicular is 5 cm longer than the other perpendicular. The diaphragm is 150 mm. Calculate the lengths of the hangings.

Correct answer:

a =  12.8078 cm
b =  7.8078 cm

Step-by-step explanation:

c=150 mm cm=150:10  cm=15 cm a=5+b  a2+b2=c2 a2+(a5)2=c2  a2+(a5)2=152 2a210a200=0  p=2;q=10;r=200 D=q24pr=10242(200)=1700 D>0  a1,2=2pq±D=410±1700=410±1017 a1,2=2.5±10.307764064044 a1=12.807764064044 a2=7.8077640640442   Factored form of the equation:  2(a12.807764064044)(a+7.8077640640442)=0  a=a1=12.8078=12.8078 cm

Our quadratic equation calculator calculates it.

b=a5=12.807857.8078 cm   Verifying Solution:  c1=a2+b2=12.80782+7.80782=225



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: