Isosceles triangle

The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.

Correct answer:

z =  2.8 dm

Step-by-step explanation:

r=5 dm 20 cm = 2 dm  v = 2 + z r2 = v2 + (z/2)2  52=(2+z)2+(z/2)2  −1.25z2−4z+21=0 1.25z2+4z−21=0  a=1.25;b=4;c=−21 D=b2−4ac=42−4⋅1.25⋅(−21)=121 D>0  z1,2​=2a−b±D​​=2.5−4±121​​ z1,2​=2.5−4±11​ z1,2​=−1.6±4.4 z1​=2.8 z2​=−6  z>0 z=z1​=2.8=514​ v=2+z=2+2.8=524​=4.8 dm r2​=v2+(z/2)2​=4.82+(2.8/2)2​=5 dm

Our quadratic equation calculator calculates it.


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?
See also our right triangle calculator.
Calculation of an isosceles triangle.
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: