Question

in an isosceles right triangle if the hypotenuse is 6√2cm find the length of the sides of the triangle​

Answer 1

Answer:

6 cms

Step-by-step explanation:

Let sides of the isosceles triangle be x cm

Given hypotenuse is 6√2 cm

By using Pythagoras theorem ,

x = 6 cm

Answer 2

The length of the sides of the triangle is 6cm

Step-by-step explanation:

Given:

the hypotenuse of an isosceles is 6√2cm

To find:

length of the sides of the triangle

Solution:

The triangle is an isosceles triangle

So the length of the other sides of the triangle will be equal

Let's assume the side is x cm long

Using Pythagoras theorem

(hypotenuse)² = (side 1)²+ (side 2)²

Adding the values

( 6√2)²= (x)²+(x)²

(36 x 2) = 2x²

72 =  2x²

∴ 2x² = 72

∴ x² = 72/2

∴ x² = 36

∴ x = √36

∴ x = ±6

But the length cannot be negative

∴ x = 6 cm

Thus, the sides of the isosceles triangle are 6cm & 6cm

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