Question No. 1
In a right angled triangle, the second to longest side is 5 cm longer than the shortest side, and the hypotenuse is three times longer than the shortest side. Find exact length of the hypotenuse.
(The following image is what I've visualized it to be - is it correct?)
This is how I tried solving it and the answer was incorrect:
a^2+b^2=c^2
x^2+(x+5)^2=3x^2
x^2+x^2+10x+25=3x^2
Question No. 2
A straight length of wire is 20 cm long. It is bent at the right angles to form the two shorter sides of a right angled triangle. If the triangle's area is 30cm^2, find:
1. the length of the hypotenuse
2. The triangles perimeter
^ I have no idea how to do either of those questions and am not sure how to visualize it either.
Thank you so much.