Question

2. What is the length of the third side of the right triangle, when both sides are 20?

Answer 1

Well the only right triangle with two similar sides is a special triangle called a 45 45 90. After the degrees of its shape
                                                      _
two sides are x and the other is x/2              _
so in this case the other angle would be 20/2 [20 root (2), its hard to draw roots on this site so I thought I would clarify that was what I was drawing]

Hope this helps, good luck.

Answer 2

An Isoceles Right Triangle is a triangle that has two congruent sides and one right angle, so the congruent sides must be the legs.

Because the two legs are congruent we will call them both a and the hypotenuse c. If we put them into the Pythagorean theorem it would look like this.


$a^2+a^2=c^2$
$2a^2=c^2$
$\sqrt2a^2= \sqrt{c^2}$$a \sqrt2=c$
From this we can conclude that the hypotenuse leg is the length of a leg multiplied by $\sqrt2$
So.. The answer is $20 \sqrt2$