Question

I need help answering this question : Triangle ABC and triangle PQR are right triangular sections of a fire escape as shown. Is each story of the building the same hight? Explain.

Answer 1

Yes, they are the same height since there is a theorem (Side-Side-Angle) that says if two triangles has two sides congruents and is right angled, then they're congruent, also we can demostrate it we the pythagoras theorem:

$a^2+b^2=c^2$

If a and b of differents triangles are the same, so c of the two triangles would be the same too. a, b and c are the sides of the triangle.