Question

calculate the x by pythagoras's theorem.​

Answer 1

Lets take points on the given diagram

Now the given diagram has 3 right triangles :-

• ∆BAE let it be ∆₁
• ∆EBC let it be ∆₂
• ∆ECD let it be ∆₃

☯ Pythagoras theorem :-

Square of hypotenuse equal to Sum of square of base and height of right triangle

→ Hypotenuse² = Base² + Height²

♦ ∆₁ :-

• Hypotenuse = ?
• Base = 1 cm
• Height = 1 cm

Using Pythagoras theorem

⇒ Hyp² = 1² + 1²

⇒ Hyp² = 1 + 1

⇒ Hyp = √2 cm

♦ ∆₂ :-

• Hypotenuse = ?
• Base = Hypotenuse of ∆₁ = BE = √2cm
• Height = √2cm

⇒ Hyp² = (√2)² + (√2)²

⇒ Hyp² = 2 + 2

⇒ Hyp = √4 = 2 cm

♦ ∆₃ :-

• Hypotenuse = x cm = ?
• Base = Hypotenuse of ∆₂ = CE = 2cm
• Height = √5 cm

⇒ Hyp² = 2² + (√5)²

⇒ Hyp² = 4 + 5

⇒ Hyp = √9 = 3 cm = x cm

☯ x = 3 cm

Answer 2

hope.. it help..

thanku..