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In a right angled triangle, the length of perpendicular and base are 1.8 cm and 2.5 cm respectively, then find its hypotenuse.
Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (base and perpendicular).
Given data:
Hypotenuse calculation:
Let's denote the hypotenuse by 'h'.
h² = base² + perpendicular²
h² = (2.5 cm)² + (1.8 cm)²
h² = 6.25 cm² + 3.24 cm²
h² = 9.49 cm²
Taking the square root of both sides:
h = √h² h = √9.49 cm² h ≈ 3.08 cm (round to two decimal places)
Therefore, the hypotenuse of the right angled triangle is approximately 3.08 cm.
