Question

Triangle ABC and PQR are similar AB = 6cm,BC= 4cm,AC =8cm and PR =6cm what is PQ QR

Answer 1

Answer:

PQ= 8 CM

RQ= 4CM

Step-by-step explanation:

ABC is congruent to PRQ

SO , AB= PR (GIVEN)

BC=RQ

CA=PQ

Answer 2

Thus, we get PQ = $\dfrac{9}{2}$, QR = 3 cm.

Step-by-step explanation:

• We are given two similar triangles as \Delta ABC and \Delta PQR. (refer the figure attached)

Also, we know that;

• Their corresponding sides would be equal in proportions. So we write as;

$\dfrac{AB}{PQ} = \dfrac{AC}{PR} = \dfrac{BC}{QR}$

• Since, we are given as;

• AB = 6 cm, AC = 8 cm, BC = 4 cm, PR = 6 cm

$\dfrac{6}{PQ} = \dfrac{8}{6} = \dfrac{4}{QR}$

Pick first and second, we get.

$\dfrac{6}{PQ} = \dfrac{8}{6}$

• PQ =$\dfrac{9}{2}$ cm

Pick second and third, we get.

$\dfrac{8}{6} = \dfrac{4}{QR}$

• QR = 3 cm

Thus, we get PQ = $\dfrac{9}{2}$, QR = 3 cm.