in a triangle abc angle b is equal to 90 degree and ac is equal to 8 root 2 if ab is equal to BC then find AB
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Answer:
The answer is 8.
Step-by-step explanation:
AB = AC
By pythagoras theorem,
(AC)² = (AB)² + (BC)²
(AC)² = (AB)² + (AB)²
(AC)² = 2(AB)²
(8root 2 )² = 2(AB)²
128 = 2(AB)²
(AB)² = 128 ÷2
(AB)² = 64
AB = 8
Therefore, AB is 8cm.
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