Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
