Question

find the value of X from given figure​

Answer 1

Answer:

x = 4 cm

Step-by-step explanation:

Given:

• AC = (x + 1) cm
• AB = (x - 1) cm
• BC = 4 cm

To find:

Value of x = ?

Solution:

The given ΔABC is a right angled triangle.

To find the value of sides, we use Pythagoras Theorem.

According to Puthagoras Theorem,

   (AC)² = (AB)² + (BC)²

⇒ (x + 1)² = (x - 1)² + (4)²

⇒ (x² + 2x + 1) = (x² - 2x + 1) + 16

⇒ 2x + 1 = 17 - 2x

⇒ 4x = 17 - 1

⇒ 4x = 16

⇒ x = 4

∴ The value of x = 4

Answer 2

Step-by-step explanation:

Given triangle is a right angled triangle

We can use Pythagoras theorem to solve this question

The Pythagoras theorem is

• (hypotenuse)² = (base)² + (perpendicular)²

On substituting values

→ (x+1)² = (x-1)² + (4cm)²

→ (x²+2x+1) = (x²-2x+1) + 16cm²

→ (x²+2x+1)-(x²-2x+1) = 16cm²

→ 4x = 16cm²

→ x = 16cm²/4

→ x = 4cm

• Hence! the value of x=4