Answer:
7.1 inches
Step-by-step explanation:
An Isosceles right triangle is one with two sides equal and the angles equal too.The angles in this case are 45°
For this question, to get the hypotenuse, you apply the Pythagorean relationship where the legs will be represented by a and b where as the hypotenuse will be represented by c.
[tex]a^2+b^2=c^2\\[/tex]
Given;
One leg = 5 inches, but you know that in this triangle, the two sides are equal, hence the other side/leg is 5 inches.
Lets take one side of the triangle as a=5 inches
The other side as b=5 inches
The hypotenuse as c=?
Apply the expression;
[tex]a^2+b^2=c^2\\\\5^2+5^2=c^2\\\\25+25=c^2\\\\50=c^2\\\\c=\sqrt{50} =7.071[/tex]
To the nearest tenth 7.071 = 7.1 inches
