All categories

3 years ago

Triangle abc is similar to xyz. which proportion can be used to find the unknown side length

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Unknown side length of two similar triangles can be found out by scale factor and any of the side lengths.

Step-by-step explanation:

The similarity is one of the criteria of triangles. Two triangles are similar when their respective sides are in similar ratio or proportion. In layman’s term, it can be understood as a condition in which two triangles have similar shapes but not similar sizes.

If ΔABC is similar toΔ XYZ, then their respective sides would be in proportion to each other.

This means AB/XY=AC/XZ=BC/YZ

This common ratio is often termed as “scale factor”

Hence any sides length can be found out if either of the terms (i.e. scale factor, side ) is given.

You might be interested in

Last season two running back's on the college football team rush for a combined 1550 yards one rushed four times as many yards a

dmitriy555 [2]

Answer:

The player with the most runs had a rush of 1,240 yards

Step-by-step explanation:

In this question, we are asked to calculate the number of yards that was rushed by one of two person given their combined run and an extra information.

Firstly, let the person that had the smaller number of rush have a rush of x rushes. The second person has a rush of 4 times the other. This makes a number of 4x rushes

By adding both together, we have a total of 1550 yards

Mathematically, this means that x + 4x = 1550

5x = 1550

x = 1550/5 = 310 rushes

The second player had a rush of 4x and that is 4 * 310 = 1,240 rushes

3 0

3 years ago

Read 2 more answers

Thrice the product of two and "Y".

love history [14]

Answer:

Step-by-step explanation:

We need to solve the statement ' Thrice the product of two and "Y" '.

Thrice means 3 times and product means multiply. It means we have to multiply 3,2 and Y.

Let the result is R. It can be calculated as follows :

$R=3\times 2\times Y$

We know that, 3×2 = 6

So,

$R=6Y$

Hence, Thrice the product of two and "Y" is 6Y.

6 0

3 years ago

I have 15 hundreds, 14 tens, 3 ones, 7 tenths, and 16 hundredths. what number am I

garri49 [273]

15,000 + 140 + 3 + .7 + .16 = 15,143.86 hope this helps

3 0

3 years ago

How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?

shtirl [24]

Answer:

Step-by-step explanation:

12 + 12 = 24

7 0

2 years ago

A motorcycle breaks down and the rider has to walk the rest of the way to work. The motorcycle was being driven at 45 mph and th

UNO [17]

Answer:26 mile

Step-by-step explanation:

5 0

2 years ago