the two sides of a right angled trianglecare 5 cm and 12 cm, find the area as well as the lenght of hypotenuse
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Answer:
by Pythagoras theorem
H square is equal to p square + b square
h=✓5^2+12^2
h=✓25+144
h=✓169
h=13 centimetre
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Let in ∆ABC, BC = 5 cm and AC = 12 cm.
Therefore,
- By Pythagoras theorem,
(AB)² = (BC)² + (AC)²
=> (AB)² = (5)² + (12)²
=> (AB)² = 5 × 5 + 12 × 12
=> (AB)² = 25 + 144
=> (AB)² = 169
Now,
(AB)² = 169
AB × AB = 13 × 13
=> Or AB = 13 Cm
Therefore,
- Length of the hypotenuse = 13 cm.
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