A right 3

A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .

Correct answer:

a =  120 cm
b =  50 cm

Step-by-step explanation:

o=300 cm c=130 cm  o = a+b+c  a+b = o−c=300 − 130 = 170  cm  c2 = a2+b2  c2=a2+(170−a)2  1302=a2+(170−a)2 −2a2+340a−12000=0 2a2−340a+12000=0 2 ...  prime number 340=22⋅5⋅17 12000=25⋅3⋅53 GCD(2,340,12000)=2  a2−170a+6000=0  p=1;q=−170;r=6000 D=q2−4pr=1702−4⋅1⋅6000=4900 D>0  a1,2​=2p−q±D​​=2170±4900​​ a1,2​=2170±70​ a1,2​=85±35 a1​=120 a2​=50  a=a1​=120=120 cm

Our quadratic equation calculator calculates it.

b=a2​  b=170−a=170−120=50   Verifying Solution:  c2​=a2+b2​=1202+502​=130 cm o2​=a+b+c=120+50+130=300 cm

Try another example


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







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

Grade of the word problem:


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

Related math problems and questions: