Right-angled triangle

Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm.

Correct answer:

S =  24 cm2

Step-by-step explanation:

r=5 cm c=2 r=2 5=10 cm c2 = a2 + b2 a = c2d b = cd c2 = (c2d)2 + (cd)2  102=(102d)2+(10d)2  5d2+60d100=0 5d260d+100=0 5 ...  prime number 60=2235 100=2252 GCD(5,60,100)=5  d212d+20=0  a=1;b=12;c=20 D=b24ac=1224120=64 D>0  d1,2=2ab±D=212±64 d1,2=212±8 d1,2=6±4 d1=10 d2=2  d<c d=d2=2 b=cd=102=8 cm a=c2 d=102 2=6 cm S=a b/2=6 8/2=24 cm2

Our quadratic equation calculator calculates it.


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.

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


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

Related math problems and questions: