Question

In triangle PQR, ST||QR, If PS=4cm, SQ=6cm and PT=2.5cm, then find TR

Answer 1

➸ Given:-

• In ∆PQR, ST||QR
• PS = 4cm
• SQ = 6cm
• PT = 2.5cm

☣ To Find:-

• Length of TR.

☢ Solution:-

In ∆PQR,

As ST||QR

By Basic Proportionality Theorem [BPT]

$☞\;\Large\sf{ \frac{PS}{SQ} = \frac{PT}{TR} }$

Let, Length of TR be x

$\frac{4}{6} = \frac{2.5}{x} \\ x = \frac{6 \times 2.5}{4} \\ x = \frac{15}{4} \\ x = 3.75$

Required Length

• ▣ TR $→\;\Large\red{\bold{3.75\;cm}}$

$\boxed{\tt{@MrMonarque}}$

Hope It Helps You ✌️