Triangles abc and kmn are similar. find the lengths of the sides of the triangle kmn, if ab=4 cm, bc=5cm, ca=7 cm and km/ab =2.1.

Step-by-step explanation:

Two figures are said to be similar if their shapes are same but they differ in size .

We know that if two triangles are similar then their sides are proportional and angles are equal .

It's given that triangles ABC and KMN are similar .

In symbolic form ,

We need to find the lengths of the sides of the triangle .

We have

Given :

AB=4 cm, BC=5cm, CA=7 cm

Therefore,

we get ,

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form