Given:
Right triangle.
Base = 10
Hypotenuse = 26
To find:
The missing side length
Solution:
Let the missing side length be x.
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]10^2+x^2=26^2[/tex]
[tex]100+x^2=676[/tex]
Subtract 100 from both sides.
[tex]100+x^2-100=676-100[/tex]
[tex]x^2=576[/tex]
Taking square root on both sides.
[tex]x=24[/tex]
The missing side length of the right triangle is 24.
