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
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answer:
△ ABC is a right-angled triangle.
By Pythagoras theorem,
AC 2=BC 2+AB 2
⇒13
2=5 2+AB 2
⇒AB 2 =−(5)
2+13 2⇒AB 2
=−25+169
⇒AB 2 =144
⇒AB= 144
⇒AB=12 cm...
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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 c
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