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Reika [66]
3 years ago
10

if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?

Mathematics
2 answers:
Over [174]3 years ago
7 0

\small\star\underline\bold\red{Given-}

Sides of the right triangle

  • 2√3 (p)
  • 3√2 (b)

\small\star\underline\bold\red{To\:Find-}

  • Third side (hypotenuse)

\small\star\underline\bold\red{Solution-}

<u>By </u><u>Pythagoras </u><u> </u><u>Theorum</u> ,

\small\fcolorbox{red}{white}{h² = b² + p² }

\implies h² = (2√3)² + (3√2)²

\implies h² = 12 + 18

\implies h² = 30

\implies h = √30

lina2011 [118]3 years ago
6 0

Answer:

<h2>\sqrt{30}</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 3√2

Base ( b ) = 2√3

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {(3 \sqrt{2} )}^{2}  +  {(2 \sqrt{3} )}^{2}

To raise a product to a power, raise each factor to that power

{h}^{2}  = 9 \times 2 + 4 \times 3

Multiply the numbers

{h}^{2}  = 18 + 12

Add the numbers

{h }^{2}  = 30

Take the square root of both sides of the equation

h =  \sqrt{30}

Hope this helps...

Best regards!!

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