Answered

solve for the unknown values refer to figure below (prythagorean theorem)1 if c=15 and b=9. find a ​

Sagot :

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have

  • Right angled triangle having sides a, b and c
  • The measuresment of side b and c are 15 and 9

Therefore,

By using Pythagoras theorem :-

  • This theorem states that the sum of the squares of two smallest sides that is base and perpendicular height of right angled triangle is equal to the square of hypotenuse that is the longest side of the right angled triangle.

That is,

[tex]\bold{ (a)^{2} + (b)^{2} = (c)^{2}}[/tex]

Subsitute the required values,

[tex]\sf{ (a)^{2} + (9)^{2} = (15)^{2}}[/tex]

[tex]\sf{ (a)^{2} + 81 = 225}[/tex]

[tex]\sf{ (a)^{2} = 225 - 81 }[/tex]

[tex]\sf{ (a)^{2} = 144}[/tex]

[tex]\sf{ a = \sqrt{144}}[/tex]

[tex]\sf{ a = \sqrt{12{\times}12}}[/tex]

[tex]\bold{ a = 12 }[/tex]

Hence, The value of a is 12 .

Viz Other Questions