contestada

An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse?

Respuesta :

thelinstigator
right triangle means Pythagorean theorem!
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case

The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented by x.

According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,

[tex]h^2=x^2+x^2\\\h=\sqrt{x^2+x^2}\\h=\sqrt{2x^2}\\h=x\sqrt{2}[/tex]

Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Otras preguntas