Answer:
8.7 inches
Step-by-step explanation:
Okay so right now you have these values:
y = 10
o = 5 (b/c you divide the 10in in half since only half of it makes the base for the triangle)
Y = 90°
Given these values, you can use the pythagorean theorem to solve for side x (Segment OY):
a^2 + b^2 = c^2 (or in this case: o^2 + x^2 = y^2)
Substitue in your values:
(5^2) + x^2 = 10^2
Subtract the 5^2 from both sides and simplify:
x^2 = 100-25
x^2 = 75
Square root both sides to get rid of the square on x:
x = [tex]\sqrt{75}[/tex]
x = 8.7 inches
