Answer:
x=55 y=70
Step-by-step explanation:
if the sides satisfy the pythagorean’s theorem(a^2+b^2 = c^2). a and b being the legs and c being the hypotenuse. just plug in and solve. :)
A highway runs east-west between two towns C and B that are 25 km apart. Town A lies 15 km directly north from C. A straight road is built from A to meet the highway at D which is equidistant from A and B. Find position of D on the highway.
find distance AB
Using Pythagorian
AB^2 = 15^2+ 25^2
then find Point M which is midpoint of AB
AM=MB= 1/2 (AB)
now take a look at the right triangle ABC
tan(
A = L * W
Given:
L = x + 10 and W = x + 15
So
A = (x + 10)(x + 15)
A = x^2 + 10x + 15x + 150
A = x^2 + 25x + 150
Answer
x^2 + 25x + 150