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what is the value of x ?

What Is The Value Of X class=

Sagot :

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇ

Ⲁⲛ⳽ⲱⲉⲅ:

  • x = 5 √ 2

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We are given a right angled triangle with its interior angles as 45°, 45° and 90°. As the right angled triangle has same opposite angles ( 45° - 45° ) , therefore we can say that this is an isosceles right angled triangle .

Hence, using the property of isosceles triangle, the two sides of the triangle should be equal ,i.e:

‎ㅤ‎ㅤ‎ㅤ➙ Base = Perpendicular

‎ㅤ‎ㅤ‎ㅤ➙ Base = 5

Now , we have :

  • Perpendicular ( P ) = 5
  • Base ( B ) = 5
  • Hypotenuse ( x ) = ?

Using Pythagoras theorem:

➙ H² = P² + B²

➙ H² = 5² + 5²

➙ H² = 25 + 25

➙ H² = 50

➙ H = √50

➙ H = 5√2

‎ㅤ‎ㅤ‎ㅤ~Hence, the value of x = 5√2

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