Question

ABC and ACD are both right-angled triangles. a) Explain why the length of AC is 13 cm. 5 cm С For this part, just look at triangle ABC and ignore triangle ACD, AB and BC form the right Calculate the length of AD. Give your answer correct to 1 decimal place. 5 cm b) B А A 12 cm

Answer 1

Answer:

△ ABC is a right-angled triangle.

By Pythagoras theorem,

AC² = BC² + AB²

⇒13² = 5² + AB²

⇒AB² = −(5)² + 13²

⇒AB² = −25 + 169

⇒AB² = 144

${ab}^{2} = \sqrt{144}$

⇒AB=12 cm

Explanation:

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