R triangle

Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.

Final Answer:

S =  363.627 dm2

Step-by-step explanation:

c2=a2+b2 a = c7 a = b + 10 a>0 b>0  (a+7)2=a2+(a10)2  a2+34a51=0 a234a+51=0  p=1;q=34;r=51 D=q24pr=3424151=952 D>0  a1,2=2pq±D=234±952=234±2238 a1,2=17±15.427249 a1=32.427248621 a2=1.572751379  a=a1=32.427232.4272 dm b=a10=32.42721022.4272 dm  S=21 a b=21 32.4272 22.4272363.627 dm2   Verifying Solution:  c=a2+b2=32.42722+22.4272239.4272 dm

Our quadratic equation calculator calculates it.




Help us improve the example. If you find a mistake, let us know. 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 a 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   video2

Related math problems and questions: