Math, asked by naasideas, 3 months ago

Hypotenuse of a right-angled triangle is 41 cm. If one of the remaining 2 sides is 9cm, find the length of other side.

Answers

Answered by prakhart2020
1

Answer:

Area =180cm

2

2

ab

=180

ab=2×180=360

Applying Pythagoras theorem on right triangle shown above;

a

2

+b

2

=41

2

a

2

+b

2

=1681

a

2

+b

2

−2ab=1681−2ab

(a−b)

2

=1681−2(360)=1681−720=961

a−b=

961

=31 cm

The difference between the lengths of the legs of the triangles must be 31 cm.

Answered by Anonymous
1

Consider the above figure,

Given,

AC=41 cm and Area of △ABC=180 cm

2

We know that, by Pythagoras theorem

AB

2

+BC

2

=AC

2

AB

2

+BC

2

=41

2

...... (i)

Area of ABC=

2

1

×BC×AB

BC×AB=180×2=360 ...... (ii)

We have,

(AB−BC)

2

=AB

2

+BC

2

−2×AB×BC

Substitute from (i) and (ii) here,

(AB−BC)

2

=41

2

−2×360=1681−720=961

(AB−BC)=31 cm

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