Suppose you have abc with ab = 5, bc = 7, and ca = 10, and also efg with ef = 900, fg = 1260, and ge = 1800. are these triangles similar, and if so, what is the scale factor?

SSS theorem: If two triangles have three pairs of sides in the same ratio, then the triangles are similar.

Write the ratio between the smallest sides, between the greatest sides and between the middle sides and compare the results:

This gives you that

By SSS theorem triangles ABC and EFG are similar with scale factor 180.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.