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
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
32/24 = AB/12
32 12 = AB 24
384 = 24AB
384/24 = AB
16 cm = AB
Hence, the length of AB is 16 cm.
Answered by
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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