In the ∆ABC, ∠B is a right angle, D and E are the midpoints of the sides AB and AC
respectively. If AB = 6cm and AC = 10cm, then find the length of DE.
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Answered by
5
Answer:
DE = 5cm
Step-by-step explanation:
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Answered by
0
Answer:
DE = 4cm
Step-by-step explanation:
GIVEN: AB=6cm ; AC=10cm
ΔABC is a right angled
∴According to Pythagoras theorem
AB² + BC² = AC²
(6)² + BC² = (10)²
36 + BC² = 100
BC² =100 - 36 = 64
BC = √64 = 8cm
∵DE are midpoints of AB & AC,
DE║BC & DE = 1/2 BC [Mid-Point Theorem]
DE = 1/2 × 8
de = 4cm
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