Math, asked by pujadavi918, 3 months ago

Question 20. Find the length of
the hypotenuse of right triangle
having other sides of lengths 6
and 4 units. *​

Answers

Answered by nikitarawat9999
0

Step-by-step explanation:

your answer is √52 or 2√13 .

Attachments:
Answered by AestheticSoul
2

Given

  • The length of the other two sides of a right - angled triangle = 6 units, 4 units.

To find

  • Length of the hypotenuse

Solution

By using pythagoras theorem -

H² = P² + B²

where,

  • H = hypotenuse
  • P = perpendicular
  • B = base

Substituting the given values,

⟶ H² = P² + B²

⟶ AC² = AB² + BC²

⟶ AC² = 36 + 16

⟶ AC² = 52

⟶ AC = ± √52 Reject - ve

⟶ H = 2 √13 units.

Hypotenuse = 2 √13 units.

Figure -

\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 6}\put(2.8,.3){\large\bf 4}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\end{picture}

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