Question

The sides of a triangle have lengths 3,5,- and 7. In a similar triangle, the shortest side has length x-3, anaithe longest side haš length +5. Find the value of x. ...

Answer 1

Step 01:

Data

Triangle 1

side a = 3.5

side b = 7

Triangle 2

shortest side = x - 3

longest side = x + 5

x = ?

Step 02:

We must apply the properties of similar triangles.

$\frac{3.5}{x-3}=\frac{7}{x+5}$

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

3.5x + 17.5 = 7x - 21

3.5x - 7x = - 21 - 17.5

- 3.5x = -38.5

x = -38.5 / - 3.5

x = 11

The answer is:

The value of x is 11.