Question

If length of hypotenuse of a right angled triangle is 2020 and length of one side is 1616, then length of the third side is​

Answer 1

Answer: Your ans is 1212

Step-by-step explanation:As we know that $H^{2}$ =$L^{2}$+$B^{2}$

so, $B^{2}$ = $H^{2}$ -$L^{2}$

Therefore,

B=$2020^{2}$-$1616^{2}$

$B^{2}$=40,80,400 - 26,11,456

$\\B^{2}$=14,68,944

B=$\sqrt{1468944$

B= 1212

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Answer 2

Answer:

The length of the third side is 1212 units.

Step-by-step explanation:

Given :

• Hypotenuse of a right angled triangle = 2020

• Length of one side is 1616

To find :

• Length of the third side

Solution :

Let,

Third side be y

In ∆ ABC,

• Hypotenuse = AB = 2020 units
• Height = AC = 1616 units
• Base = BC = y

$\bigstar \: {\boxed{\sf{(Hypotenuse)^{2} = (Base)^{2} + (Height)^{2}}}}$

⇒ (2020)² = (y)² + (1616)²

⇒ 4,080,400 = y² + 2,611,456

⇒ y² = 4,080,400 - 2,611,456

⇒ y² = 1,468,944

⇒ y = $\sf{\sqrt{1468944}}$

⇒ y = 1212 units

Therefore, the length of the third side is 1212 units.