Question

case study 1 similar triangles are useful for indirectly determining river width it involves each person moving further along the river and measuring excatly and so on. we can draw in the line of sight from the lady e to the guy on the other side at c, which then produces a pair of triangles. plz i need it now its urgent and tommorow i have maths exam so need it now



1.which simarlity criteria is used?
2.what is the width of the river
3.the ratio ae:ac is
4.the length of ac is ? take root 10 as =3.16
5.the ratios of perimeter of triangle cfa and triangle eda is?

Answer 1

Answer:

1: AA (Angle Angle)

2: 20m

3: 1:4

4:20√10 = 63.2

5.1:4

Step-by-step explanation:

1.) if we consider the vertically opposite angle at point A we will have two equal angles the right angle and the angles at A

2.) so both the triangles are similar so the ratio of corresponding sides should be equal

so..,

AD/AF = DE/FC

3.) SIMILAR TO SECOND PART JUST TAKE THE RATIOS OF THE SIDES EQUAL

4.) BY PYTHAGORAS THEORM

(AC) = √{ (AF)^2 + (FC)^2 }

fro this we get

AC = √4000

AC = 20√10

AC = 63.2

5.) IT WILL BE SIMILAR TO THE RATIOS OF SIDE WHICH IS 1:4