Question

In triangle ABC,∠B=90° find the sides of the triangle if AB=(2x+4) mBC= ‘x’ m and AC= (2x+6) m

Answer 1

Answer:

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>>Pythagoras Theorem and its Converse

>>In a right angled triangle ...

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In a right angled triangle ABC. ∠B=90

o

.

(i) If AB = 6 cm , BC= 8 cm, find AC.

(ii) If AC = 13 cm, BC= 5 cm. find AB.

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Solution

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i) In △ABC,∠B=90

o

∴ By Pythagoras theorem,

AC

2

=AB

2

+BC

2

AC

2

=6

2

+8

2

∴AC

2

=36+64=100

∴AC=10cm

ii) In △ABC,∠B=90

o

∴ By Pythagoras theorem,

AC

2

=AB

2

+BC

2

13

2

=AB

2

+5

2

∴AB

2

=169−25=144

∴AB=12cm