Question 351175
Hi
*In questions regarding right triangles, the Pythagorean Theorem can be useful to help us solve the problem: 
.
Pythagorean Theorem 
{{{a^2 + b^2 = c^2}}} where a and b are the two sides that meet at the right angle and c (hypotenuse) is the side opposite the right angle.
.
first question
{{{80^2 + w^2 = 100^2}}}
{{{ w^2 = 100^2 - 80^2 = 10000 - 6400 = 3600}}}
{{{s= sqrt(3600)}}}
w = 60cm
.
second question
{{{15^2 + 36^2 = c^2}}}
{{{c^2 = 225 + 1296 = 1521}}}
{{{c = sqrt(1521)}}}
c= 39km (riding home in a straight line)