Right angled triangle

The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs.

Correct answer:

a =  15 cm
b =  8 cm

Step-by-step explanation:

c2=a2+b2=172=289 (c4)2=(a3)2+(b3)2=(174)2=169  169=a223a+32+b223b+32 169=a2+b26a6b+18 16928918=6a6b  b=a(23)  c2=289=a2+(a(23))2 2a246a+240=0 2 ...  prime number 46=223 240=2435 GCD(2,46,240)=2=2  a223a+120=0  p=1;q=23;r=120 D=q24pr=23241120=49 D>0  a1,2=2pq±D=223±49 a1,2=223±7 a1,2=11.5±3.5 a1=15 a2=8   Factored form of the equation:  (a15)(a8)=0  a=a1=15 cm b=a2=8 cm

Try calculation via our triangle calculator.




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 looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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

Related math problems and questions: