Question

The sides of a triangle are 3, 5 and 7. The length of the shortest side of a similar triangle whose longest side is 21 is _____.
Give reasons.​

Answer 1

Answer:

= x+5/×-3 = 7/3

= 3 ( x+5) = 7 (x-3)

=3x+15 = 21+15

= 7x- 3x = 21+15

= 4x = 36

= x = 36/4

= x = 9

hope it helps

Answer 2

The Length Of The Shortest Side Is 9cm

GIVEN

Sides of a triangle; 3, 5 and 7

The longest side of the similar triangle = 21

TO FIND

Length of the shortest side.

SOLUTION

We can simply solve the above problem as follows-

Let the first triangle be ABC

So,

AB = 3cm

BC = 5cm

AC = 7cm

Let the other triangle be, XYZ

So,

Let the longest side be, ZX = 21cm

The shortest side be XY = x cm.

It is given,

∆ABC ~ ∆XYZ

We know, that if two triangles are similar the ratio of the corresponding side is equal.

So,

AB/AC = XY/ZX

3/7 = x/21

7x = 3×21

$x = \frac{3 \times 21}{7}$

x = 9cm

Hence, the length of the shortest side is 9cm

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