Answer:
All 3 are right triangles.
Step-by-step explanation:
In a right triangle c^2 = a^2 + b^2 where c is the longest side. ( by Pythagoras).
a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27
36 = 9 + 27
So this is a right triangle.
b)
17^2 = 289, 15^2 = 225 and 8^2 = 64
289 = 225 + 64
Also right triangle.
c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25
So also right triangle.
In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.
Old scale : 1 in. to 3 ft.
length is 9 in.....9 * 3 = 27 ft (old scale length)
width is 6 in......6 * 3 = 18 ft (old scale width)
new scale : 1 in. to 4 ft
length is 9 in.....9 * 4 = 36 ft (new scale length)
width is 6 in......6 * 4 = 24 ft (new scale width)