Question

How do I get the answer?

Answer 1

We are given a right angle.

Two of the sides are 5sqrt(2)cm and 3cm.

We need to find the length of third side x.

We know, we can apply Pythagoras Theorem for a right triangle.

(a)^2 +(b)^2 =(c)^2.

Where, a and d b are two smaller sides of the right triangle and c is the longest side (Hypotenuse) of the right triangle.

Plugging values in above formula, we get

(x)^2 +(3)^2 =
`(5√(2))^2`

x^2 +9 = 25*2

x^2+9 =50

Subtracting 9 from both sides, we get

x^2+9-9 =50-9

x^2 = 41.

Taking square root on both sides, we get

`√((x)^2)=√(41)`

`√(41)` can't be simplify more.

Therefore, final answer is x=
`√(41)` cm.