Two corresponding sides of similar triangles are 2 cm and 5 cm. what is the area of the second triangle if the area of the first triangle is 8 cm^2?

  50 cm^2

Step-by-step explanation:

The ratio of areas is the square of the ratio of sides, so is (5/2)^2 = 25/4. Multiplying the smaller area by this factor will give the area of the larger triangle:

  (8 cm^2) · 25/4 = 50 cm^2

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.