Answer:
[tex]5\sqrt{10}\ units[/tex]
5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse
a and b are the legs
we have
[tex]c=10\sqrt{5}\ units[/tex]
[tex]a=b=x\ units[/tex]
substitute
[tex](10\sqrt{5})^2=x^2+x^2[/tex]
[tex]500=2x^2\\x^2=250\\x=\sqrt{250}\ units[/tex]
Simplify
[tex]x=5\sqrt{10}\ units[/tex]
5 StartRoot 10 EndRoot
Answer:
if thats not part of your answer guys here i got you
12 StartRoot 2 EndRoot in. meaning B
if u have the number with 24
Step-by-step explanation:
egd 2020
this is my question the hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
the answer was B
