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Over [174]
2 years ago
12

What is the value of y?

Mathematics
2 answers:
NeX [460]2 years ago
7 0

The value of y in the triangle is 2√5

The triangle above is a right angle triangle.

Characteristics of a right angle triangle:

  • One of its angle is equals to 90 degrees
  • The sides can be found using Pythagoras theorem.

Using Pythagoras theorem

  • c² = a² + b²

where

c = hypotenuse(longest side)

a and b are the 2 other legs.

Therefore,

6² = 4² + y²

36 = 16 + y²

y² = 36 - 16

y² = 20

y = √20

y = 2√5

learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults

malfutka [58]2 years ago
7 0

Answer:

\sf {\underline{2 \sqrt{5} }}

Explaination :

\sf \: \angle FDE \:  = 90 \degree \\  \sf \: by \: pythagoras \: theoram  \\  \sf {6}^{2}  =  {y}^{2}  +  {4}^{2}  \\  \sf{y}^{2} =  {6}^{2}  -  {4}^{2}  \\  \sf {y}^{2} = 36 - 16 \\  \sf{y}^{2} = 20 \\  \sf \: y =  \sqrt{20}  =  \sqrt{4 \times 5}  = 2 \sqrt{5}

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