Question

10. If ∆ ~∆, AB = 6.5 cm, PQ = 10.4 cm and perimeter of ∆ = 60

cm, then find the perimeter of ∆.​

Answer 1

See the attachment...

❥ the above is the answer of your question

❥ hope that's helps you

Answer 2

Answer:

$\implies$ 96 cm.

Step-by-step explanation:

$\huge\mathcal{\green{Correct \ question:-}}$

$\hookrightarrow$ If ∆ABC ~ ∆PQR, AB = 6.5 cm, PQ = 10.4 cm and perimeter of ∆ABC = 60 cm, then find the perimeter of ∆PQR.

$\bigstar$ $\large\pmb{\mathfrak{To \ Find:-}}$

$\Rightarrow$ Perimeter of ∆PQR

$\underline\mathtt{\red{Let's \ do \ it!!}}$

Given that;

• ∆ ABC ~ ∆ PQR

• AB = 6.5

• PQ = 10.4

• Perimeter(∆ ABC) = 60 cm

As given that the two triangles are similar.

$\therefore$ Perimeter(∆ABC) / Perimeter(∆PQR) = $\Large\frac{AB}{PQ}$

Let the required perimeter of ∆PQR be x cm.

Putting the values we have;

$\Large\frac{60}{x}$ = $\frac{6.5}{10.4}$

$\Large\frac{60}{x}$ = $\frac{65}{104}$

$\Large\frac{60 × 104}{65}$ = x

x = $\Large\frac{\cancel{6240}}{\cancel{65}}$

x = 96 cm

Hence, the required perimeter is 96 cm