What is the answer for this

9514 1404 393

  40 in

Step-by-step explanation:

The given equation is intended to remind you that ...

  t^2 + 30^2 = 50^2

  t^2 + 900 = 2500

  t^2 = 2500 -900 = 1600

  t = √1600 = 40

The height of the tent is ...

  t = 40 in

Additional comment

You may notice that the side lengths of the right triangle are in the ratio ...

  30 : 40 : 50 = 3 : 4 : 5

This (3, 4, 5) ratio is commonly seen in algebra and geometry problems. It is worthwhile learning to recognize its various forms.

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.

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478