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What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches? Let c represent the value of the hypotenuse. If the hypotenuse is c = a, then 6 = a. In inches, what is the value of a? 3 6

Respuesta :

ethandailey03
the answer depends on if the triangle is a 45-45-90 triangle or a 30-60-90 triangle. If it is a 45-45-90 triangle, then we would use the Pythagorean Theorem (a^2+b^2=c^2). plugging in the hypothesis, the equation would be a+b=36. If the legs are equal in the triangle, then each side would be the sqrt of 18 inches. Simplified, it would be 3r2.

In iscosceles right triangle the value of the unknown sides is equal to [tex]3\sqrt{2}[/tex] and it can be deteremine by using pythagorean theorem.

Given :

  • Iscosceles right triangle.
  • Hypotenuse = 6.
  • Both remaining sides are equal.

Let the length of unknown sides be 'a'. Than to deteremine the value of a, pythagorean theorem can be used.

[tex]\rm (Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2[/tex]

[tex]6^2 = a^2+a^2[/tex]

[tex]2a^2 = 36[/tex]

[tex]a^2 =\dfrac{36}{2}[/tex]

[tex]a = \sqrt{18} =3\sqrt{2}[/tex]

Therefore, by applying pythagorean theorem the value of a which is [tex]3\sqrt{2}[/tex] can be determine.

For more information, refer the link given below

https://brainly.com/question/10652623