The perimeter of a right angled triangle is 5 times the length of the shortest side. the numerical value of the area of the triangle is 15 times the numerical value of the length of the shortest side. find the lengths of all the three sides of the triangle.

We write system of equations:

O = 5*a
P = 15*a
a,b,c =?

a + b + c = 5a             b + c = 4a
a*b/2 = 15a                 b/2 = 15

Now we calculate b and remaining sides:
b = 30

30 + c = 4a
c^2= 30^2 + a^2
(4a - 30)^2 = 900 + a^2
16a^2 - 240a + 900 = 900 + a^2
15a^2 = 240a
a = 16

that means that c = 4*16-30 = 34

The answer is 10. sorry i was wrong the 1st time

  d. △abc is congruent to △fde

step-by-step explanation:

triangle abc is reflected across the x-axis. the corresponding vertices are

a : fb : dc : e

the names of the triangles in the congruence statement must have corresponding vertices in the same order. that is, △abc is congruent to △fde.