Question

the length of two sides of a right triangle are equal the square of the hypotenuse is 800 CM square find the length of the each side​

Answer 1

Answer :

Step-by-step explanation:

Let the measure of one side of right angled Triangle is x cm

given that -

In ⊿ABC ,

Perpendicular , ( a ) = Base ( b )

And Hypotenuse , ( c ) = 800 cm²

Now By Pythagoras theorem,

c² = a² + b²

or ⟹ 800cm² = x² + x²

⟹ 2x² = 800

⟹ x =√ 400

⟹ x = 20 cm

Therefore, perpendicular and base = 20 cm ANSWER.......

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Answer 2

Answer:

The length of other sides is 20cm each.

Step-by-step explanation:

Given :

The length of two sides of a right triangle are equal.

Square of the hypotenuse is 800cm square.

To Find :

Find the length of each side.

Solution :

★ Consider the -

Two equal sides as - 'x'

We know that :

★ Pythagorean theorem :

The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

We can write it as,

★ H² = P² + B².

Where,

H ⇒ Hypotenuse.

P ⇒ Perpendicular.

B ⇒ Base.

Put values :

$\sf\\\implies H^2 = x^2 + x^2\quad (P,B\; are\; equal\; to\; x)\\ \\\implies 800 = 2x^2\\ \\\implies x^2 = 400\\ \\\implies x= 20$

∴ The two equal sides of the triangle  20cm.