Question

The sides of a right angled triangle containing the right angle are 3(x+1)cm and (2x-1)cm.lf area of triangle be 30cm, find the length of sides of the triangle.​

Answer 1

Step-by-step explanation:

area ⇒30 cm

2

=

2

1

(2x−1)(4x)

60=(4x)(2x−1)

15=x(2x−1)

2x

2

−x−15=0

2x

2

−6x+5x−15=0

2x(x−3)+5(x−3)=0

⇒x=3,x=

2

−5

since x cannot be negative

x=3

∴AB=(2x−1)=5 cm

AC=4x=12 cm

BC=

AB

2

+AC

2

=

25+144

+

169

=13cm.

∴ the sides are 5 cm, 12 cm and 13 cm

solution

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Answer 2

Step-by-step explanation:

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