The areas of two similar triangles are 16 cm2 and 25 cm2. one of the sides of the first triangles is 2 cm. what is the length of the corresponding side of the other triangle?

The length of the corresponding side is 2.5 cm

Step-by-step explanation:

∵ The 2 Δ are similar

∴ Their sides are proportional

∵ The area of first Δ 16 cm²

∵ The area of second Δ 25 cm²

∵ One side of first Δ 2 cm

∵ From similarity

∴

∴

∴

∴ cm

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.