find the value of X from given figure
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Answered by
18
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
Answered by
14
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
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