Math, asked by vineetvishalsingh35, 9 months ago

5. The perimeters of two similar triangles ABC and PQR are 32 cm and 24 cm
respectively. If PQ = 12 cm, find AB.
ICBSE 2001)​

Answers

Answered by pandaXop
18

AB = 16 cm

Step-by-step explanation:

Given:

  • Perimeter of triangle ABC is 32 cm.
  • Perimeter of triangle PQR is 24 cm.
  • Measure of PQ is 12 cm.

To Find:

  • What is the measure of AB ?

Solution: Using the theorem - The ratio of the perimeter of two similar triangle is equal to the ratio of their respective sides .

Here, By using theorem we have

Perimeter of ∆ABC/Perimeter of ∆PQR = AB/PQ

\implies{\rm } 32/24 = AB/12

\implies{\rm } 32 \times 12 = AB \times 24

\implies{\rm } 384 = 24AB

\implies{\rm } 384/24 = AB

\implies{\rm } 16 cm = AB

Hence, the length of AB is 16 cm.

Answered by asritadevi2emailcom
46

✬ AB = 16 cm ✬

Step-by-step explanation:

Given:

Perimeter of triangle ABC is 32 cm.

Perimeter of triangle PQR is 24 cm.

Measure of PQ is 12 cm.

To Find:

What is the measure of AB ?

Solution: Using the theorem - The ratio of the perimeter of two similar triangle is equal to the ratio of their respective sides .

Here, By using theorem we have

➯ Perimeter of ∆ABC/Perimeter of ∆PQR = AB/PQ

⟹ 32/24 = AB/12

⟹ 32 \times× 12 = AB \times× 24

⟹ 384 = 24AB

⟹ 384/24 = AB

⟹ 16 cm = AB

Hence, the length of AB is 16 cm.

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