Question

which of the following are sides of a right angled triangle? 3cm
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Answer 1

Answer:

Step-by-step explanation:

The hypotenuse of the right angled triangle(h) = 25 cm

Step-by-step explanation:

Let the one side of a right angled triangle(b) = x and

The other side of a right angled triangle (h) = (3x + 3)

Given, the area of the triangle = 84  

To find, the hypotenuse of the triangle (h) = ?

We know that,

The area of a right angled triangle =  

⇒  

⇒ x(3x+3) = 84 × 2 = 168

⇒  

Dividing by 3, we get

⇒  

⇒  

⇒ x(x + 8) - 7(x + 8) = 0

⇒ (x + 8)(x - 7) = 0

⇒ x + 8 = 0 or, x - 7 = 0

⇒ x = - 8 or, x = 7 [ ∵ -7 is not possibe because side never be negative]

⇒ x = 7

∴ 3x + 3 = 3 × 7 + 3 = 24

In a right angled triangle ,

Hypoyaneous, h =  

Thus, the hypotenuse of the right angled triangle(h) = 25 cm