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Calculate AH and HC ​

Calculate AH and HC ​-example-1
User Norbjd
by
8.0k points

1 Answer

4 votes

Answer:

AH=9

HC=40

Explanation:

In ΔABH

∡H=90°

AB=15

BH=12

AH=?

here we can use Pythagoras' theorem:


a^2+b^2=c^2 where a is base b is perpendicular and c is hypotenuse.

substituting value


12^2+AH^2=15^2


AH^2=15^2-12^2


AH^2=81


AH=√(81)=9

Therefore: AH=9

In ΔACH

∡H=90°

AH=9

HC=?

∡C=30°

here also we can use Pythagoras' theorem:


a^2+b^2=c^2 where a is base b is perpendicular and c is hypotenuse.

substituting value


HC^2+9^2=41^2


HC^2=41^2-9^2\\HC^2=1600\\HC=√(1600)=40

Therefore, HC=40

User Foobarbecue
by
8.6k points
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