Question

5. In a 45-45-90 right triangle if the hypotenuse have length "x V 2", the leg 2 pointshas length IOхO 2xO x 2XV3

Answer 1

Given data:

In a right angle triangle hypotenues is given that is

`H=x\sqrt[]{2}`

Now, by the Pythagorean theorem we have

`\text{Hypotenues}^2=Perpendicular^2+Base^2`

So, by the hit and trial method

Let , perpendicular = base = x we get

`\begin{gathered} H^{}=\sqrt[]{x^2+x^2} \\ H=\sqrt[]{2x^2} \\ H=x\sqrt[]{2} \end{gathered}`

Thus, the correct option is (1) that is x