Renee is sewing a quilt whose pattern contains right triangles.
Each quilt piece is a right triangle with a height of 6 inches, and an
area of 24 square inches. How long is the base of each quilt piece?
(PLEASE ANSWER)

  8 inches

Step-by-step explanation:

The area of a triangle is ...

  A = 1/2bh

Filling in the given values, we have ...

  24 = 1/2b(6)

  24/3 = b = 8 . . . . . divide by the coefficient of b

The base of each triangular quilt piece is 8 inches long.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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.