Answered

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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

5 In A 454590 Right Triangle If The Hypotenuse Have Length X V 2 The Leg 2 Pointshas Length IOхO 2xO X 2XV3 class=

Sagot :

Given data:

In a right angle triangle hypotenues is given that is

[tex]H=x\sqrt[]{2}[/tex]

Now, by the Pythagorean theorem we have

[tex]\text{Hypotenues}^2=Perpendicular^2+Base^2[/tex]

So, by the hit and trial method

Let , perpendicular = base = x we get

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

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

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