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Troyanec [42]
3 years ago
11

What is the value of x ?

Mathematics
2 answers:
Zina [86]3 years ago
6 0
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ</u><u>:</u></h3>

  • x = 5 √ 2

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>

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

<u>Now , we have :</u>

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

<u>Using </u><u>Pythagoras </u><u>theorem</u><u>:</u>

➙ H² = P² + B²

➙ H² = 5² + 5²

➙ H² = 25 + 25

➙ H² = 50

➙ H = √50

➙ H = 5√2

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>value </u><u>of </u><u>x </u><u>=</u><u> </u><u>5</u><u>√</u><u>2</u>

kirza4 [7]3 years ago
3 0

Answer: X is an algebraic variable which has no defined value, have a nice day!!

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The length of the hypotenuse is 36\sqrt{2}.

Given that

Consider triangle DEF.

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According to the question

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The length of the hypotenuse is determined by;

\rm (Hypotenuse)^2= (Base)^2+(Perpendicular)^2\\\\ (Hypotenuse)^2= (36)^2+(36)^2\\\\ (Hypotenuse)^2= 1296+1296\\\\ (Hypotenuse)^2= 2592\\\\ Hypotenuse = \sqrt{2592}\\\\ Hypotenuse = \sqrt{2\times 4 \times 4\times 9\times 9}\\\\ Hypotenuse= 9 \times 4 \times \sqrt{2}\\\\ Hypotenuse= 36 \sqrt{2}\\

Hence, the length of the hypotenuse is 36\sqrt{2}.

To know more about Pythagoras theorem click the link given below.

brainly.com/question/13963715

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