Question

In the given figure, QS : SR = PV : VS =4:3
PT = 8 cm. Find PR (in cm).​

Answer 1

The value of PR is 14 cm.

Step-by-step explanation:

Since we have given that

QS : SR = 4 : 3

⇒ QR = 4+3 = 7

PV : VS = 4 : 3

PS = 4 +3 =7

If PT = 8 we need to find the value of PR.

So, it becomes,

$\dfrac{QS}{QR}=\dfrac{PT}{PR}\\\\\dfrac{4}{7}=\dfrac{8}{x}\\\\4x=7\times 8\\\\4x=56\\\\x=\dfrac{56}{4}\\\\x=14$

Hence, the value of PR is 14 cm.

# learn more:

In the given figure, PQRS is a rectangle. If PS=8 cm and SR=4 cm, then find the area of ∆ABC.​

https://brainly.in/question/13660944