Question 20. Find the length of
the hypotenuse of right triangle
having other sides of lengths 6
and 4 units. *
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Step-by-step explanation:
your answer is √52 or 2√13 .
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• Given
- The length of the other two sides of a right - angled triangle = 6 units, 4 units.
• To find
- Length of the hypotenuse
• Solution
By using pythagoras theorem -
H² = P² + B²
where,
- H = hypotenuse
- P = perpendicular
- B = base
Substituting the given values,
⟶ H² = P² + B²
⟶ AC² = AB² + BC²
⟶ AC² = 36 + 16
⟶ AC² = 52
⟶ AC = ± √52 Reject - ve
⟶ H = 2 √13 units.
Hypotenuse = 2 √13 units.
Figure -
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