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9 votes
9 votes
How do you solve this question?

How do you solve this question?-example-1
User Dan
by
2.8k points

2 Answers

16 votes
16 votes

Answer:

The value of x is 8 cm

Step-by-step explanation :

Given :

  • PQ = 4 cm
  • QR = 3 cm
  • ST = x cm
  • SR = 6 cm
  • TR = 5 cm

To Find :

  • x = ? cm

Solution :


\bf{ \triangle{PQR} \sim \triangle{RST}}


\bf{So, (PQ)/(ST) = (QR)/(SR)} \\ \\ \bf \longrightarrow (4)/(x) = (3)/(6) \\ \\\bf \longrightarrow x = (4 * 6)/(3) \\ \\\bf \longrightarrow x = { \cancel{(24)/(3)}} \\ \\\bf \longrightarrow x = 8

Hence, answer is x = 8 cm.

User Aswath Krishnan
by
2.9k points
23 votes
23 votes

Answer:

8

Explanation:

  • The two triangles are similar, so with the sides in proportion and the same angles, we can solve it with a simple equation that you find in the attached drawing.
How do you solve this question?-example-1
User AustinZ
by
2.6k points
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