Answer:
Leg of an isosceles right triangle is 7.99 long.
Step-by-step explanation:
Given:
Length of the hypotenuse =11.31
To find:
Length of the leg of an isosceles right triangle =?
Solution:
According to Pythagorean's Theorem, we have
[tex]a^2 +b^2 = c^2[/tex]-----------------------------(1)
Here were are given as isosceles triangle, so the two sides will be of same length
So equation 1 can be rewritten as
[tex]a^2 +a^2 = c^2[/tex]
[tex]2a^2 = c^2[/tex]
Substituting the value of hypotenuse
[tex]2a^2 = (11.31)^2[/tex]
[tex]2a^2 = 127.91[/tex]
[tex]a^2 = \frac{127.91}{2}[/tex]
[tex]a^2 =63.955[/tex]
[tex]a = \sqrt{63.955}[/tex]
a = 7.99
