Question

if triangleABC~triangle PQR such that 2AB=3PQ and BC =12cn then find the lenght of QR​

Answer 1

Answer:

$\huge\mathcal{\green{Hola!}}$

$\huge\mathfrak{\red{Answer}}$

• : ➝ 8 cm

Step-by-step explanation:

☆ Question:-

If ∆ ABC ~ ∆ PQR such that 2AB=3PQ and BC =12cm then find the lenght of QR.

☆ Given:-

• ∆ ABC ~ ∆ PQR

• 2AB = 3PQ

☆ To find:-

• Length of QR.

☆ Required Solution:-

Given that

2AB = 3PQ

$= > \frac{AB}{PQ} = \frac{3}{2}$

$\huge\mathcal{\green{Also,}}$

Given that the two triangles are similar;

$\huge\mathcal{\green{Therefore,}}$

AB/PQ = AC/PR = BC/QR

$\huge\mathcal{\green{Also,}}$

Length of BC is given as 12 cm.

$\huge\mathcal{\green{Therefore,}}$

$\frac{AB}{PQ} = \frac{BC}{QR}$

$= > \frac{3}{2} = \frac{12}{QR}$

QR = 24/3

$\fbox{\purple{➝ \ QR \ = \ 8}}$

$\huge\mathcal{\green{All \ the \ very \ best!}}$

$\huge\mathfrak{\red{@MissTranquil}}$

$\huge\fbox{\orange{be \ brainly}}$