
The side of an isosceles right triangle of hypotenuse cm is:
A. cm
B. cm
C. cm
D. cm
Answer
510.6k+ views
Hint: An isosceles triangle is a triangle that has two sides of equal length sometimes it is specified as having exactly two sides of equal length and sometimes as having at least two side of equal length the isosceles triangle includes the isosceles right triangle.
ABC is an isosceles triangle whose side AB BC.
Isosceles right triangle:
Sides other than hypotenuse of an isosceles triangle are equal.
Complete step-by- step solution-:
Given data,
Hypotenuse of an isosceles right triangle is cm.
Sides other than Hypotenuse of an isosceles triangle are equal.
Let the other two Sides be each
Using Pythagoras Theorem we know that
…….. (i)
i.e.
Putting values and cm in the equation(i) we get
[Square root of is .]
So, the required side of an isosceles triangle is cm each. Option C
Note:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides “. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse.
Pythagoras is a theorem which is used only for right angled triangles.
Which is,
[Remember]
Square root of a number is a value that, when multiplied by itself, gives the number i.e.

ABC is an isosceles triangle whose side AB
Isosceles right triangle:

Sides other than hypotenuse of an isosceles triangle are equal.
Complete step-by- step solution-:
Given data,
Hypotenuse of an isosceles right triangle is
Let the other two Sides be

Using Pythagoras Theorem we know that
i.e.
Putting values
So, the required side of an isosceles triangle is
Note:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides “. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse.
Pythagoras is a theorem which is used only for right angled triangles.
Which is,
Square root of a number is a value that, when multiplied by itself, gives the number i.e.
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