7. In a right angles triangle ABC, ZB = 90°, AC = 10 cm and AB = 8 cm find the length of BC.
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Answer: Length of BC will be 6cm.
Step-by-step explanation:
This question is solved using the Pythagoras theorem, which states that height²+base²=hypothenuse². in this case, AB can be the height, BC can be the base, and AC is the hypothenuse.
- height²+base²=hypothenuse²
- AB²+BC²=AC²
- (8cm)²+BC²=(10cm)²
- 64cm²+BC²=100cm²
- BC²=100cm²-64cm²=36cm²
- BC²=36cm²
- BC=√36cm²
- BC=6cm
Given above is the way to solve this. Hope it helps
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