Question

in the adjoining figure find the unknown length x​

Answer 1

Step-by-step explanation:

x will be 9 cm by Pythagoras theorem

Answer 2

Answer:

9cm...

Step-by-step explanation:

here we can see that ΔPSR is a right angle triangle

∵ (hypotenuse)² = (base)² + (height)²

⇒ (13)² = (5)² + (PS)²

⇒ 169 = 25 + (PS)²

⇒ (PS)² = 169 - 25

⇒ (PS)² = 144

⇒ PS = √144

⇒ PS = 12cm

now, In Δ PSQ

⇒ (hypotenuse)² = (base)² + (height)²

⇒ (PQ)² = (QS)² + (PS)²

⇒ (15)² = (QS)² + (12)²

⇒ 225 = (QS)² + 144

⇒ (QS)²= 225 - 144

⇒ (QS)² = 81

⇒ QS =√81

⇒ QS = 9cm

Hence, the value of x is 9cm