Question

How do you solve this question?

Answer 1

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.

Answer 2

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.