Question

3. The length of two sides of a right triangle are equal. The square of the hypotenuse is
800² cm. Find the length of the each side.​

Answer 1

Answer:

The two sides of the right angled triangle are equal. Therefore, it is a isosceles right angled triangle. Also, the square of hypotenuse is 800cm

Answer 2

Given -

• The square of the hypotenuse = 800²

• Length of other two sides of right angle are equal.

To Find -

• The length of each side.

Solution -

We know that,

h = Hypotenuse

a = Altitude

b = Base

Using the formula,

Hypotenuse² = Base² + Altitude²

Consider the other two sides are 'x'.

Substituting their values,

800 = x² + x²

800 = 2x²

x² = 400

x = 20 m

$\therefore$ The length of each side is 20 m respectively.

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