The length of the hypotenuse of an isosceles | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) In an isosceles right-angled triangle,the two sides containing the right angle are equal in length.Let the length of each of these sides be $x \,

Vedclass · Accepted Answer

$4 \sqrt{2}$

Vedclass · Answer

(B) In an isosceles right-angled triangle,the two sides containing the right angle are equal in length.Let the length of each of these sides be $x \, cm$.By the Pythagoras theorem,in a right-angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.Therefore,$(x)^2 + (x)^2 = (8)^2$.$2x^2 = 64$.$x^2 = 32$.$x = \sqrt{32} = \sqrt{16 	imes 2} = 4 \sqrt{2} \, cm$.Since the length cannot be negative,the length of each of the other two sides is $4 \sqrt{2} \, cm$.

Part $I$	Part $II$
$1.$ The discriminant of $x^{2}+5x+6=0$	$a. 1$
$2.$ The discriminant of $x^{2}+5x+4=0$	$b. 9$
$3.$ The discriminant of $x^{2}+4x+3=0$	$c. 4$
$4.$ The discriminant of $x^{2}+6x+5=0$	$d. 16$

The length of the hypotenuse of an isosceles right-angled triangle is $8 \, cm$. Find the length of the other two sides.

Similar Questions

The golden ratio,often denoted by the Greek letter $\phi$,is a special number. Which of the following is the golden number?

Which of the following is not a quadratic equation?

Which of the following is a quadratic equation?

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $6x^{2}-5x-1=0$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module