Respuesta :
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This is a right isosceles triangle with legs of same length
let x be the length of a leg then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex]
multiply both sides by 10
x = 10sin45° = 10 × [tex]\frac{\sqrt{2} }{2}[/tex] = 5[tex]\sqrt{2}[/tex] ← exact length
