Finding Perimeter Using Congruent Triangles What is the perimeter of the entire design?
Cameron makes a quilt design using four congruent
triangles as shown below.
46 cm
64 cm
108 cm
147 cm

I know that the result is 64 but I don’t know how to get the 64 can somebody explain the step by step to get the perimeter of this please?

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft