The floor of a rectangular living room is 16 feet by 12 feet. What is the distance between opposite corners of the living room?

20ft

Step-by-step explanation:

Step one:

given data

a rectangular living room is 16 feet by 12 feet

Hence the Lenght = 16 ft

The width = 12 ft

Required

The diagonal of the room

Step two:

applying Pythagoras theorem we can find the diagonal as

d=√400

d=20 ft

diagonal is 20ft hence  the distance between opposite corners of the living room 20ft

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.