Math, asked by dasroshan484, 1 year ago

Tarzan and side of a right angle triangle 5x cm and 3X - 1 cm if its area 16 square square find its side

Answers

Answered by singhpitam391
0

Answer:


Step-by-step explanation:

Given that sides of a right-angled triangle are 5x and (3x - 1)cm.

Given that Area of the triangle = 60cm^2.

We know that Area of the triangle = 1/2 * b * h

                             60 = 1/2 * 5x * (3x - 1)

                            5x(3x - 1) = 60 * 2

                            5x(3x - 1) = 120

                            x(3x - 1) = 120/5

                             3x^2 - x = 24

                             3x^2 - x - 24 = 0

                             3x^2 + 8x - 9x - 24 = 0

                             x(3x + 8) - 3(3x + 8)

                             (x - 3)(3x + 8)

                             x = 3 (or) x = -3/8.

x value should not be -ve.Therefore the value of x = 3.

Therefore the sides of a right-angled triangle =  

5x = 5 * 3 = 15cm

(3x - 1) = (3 * 3 - 1)

          = 9 - 1

          = 8cm

 

By Pythagoras theorem, we know that  

h^2 = 15^2 + 8^2

      = 225 + 64

      = 289

h =  \sqrt{289}  

  = 17.

Therefore the hypotenuse = 17cm.

Therefore the sides of the triangle are 8cm,15cm, and 17cm.

Hope this helps! dear

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