Question

3. The length of two sides of a right triangle are equal. The square of the hypotenuse is
800 cm2. Find the length of the each side. ​

Answer 1

Answer:

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Step-by-step explanation:

ATQ,

The length of two sides of the right angle triangle are equal.

Let the equal sides of the right angle triangle be x each (base and perpendicular) -------(i)

Given square of the hypotenuse is 800cm.

➡ hypotenuse² = 800cm -------(ii)

By Pythagoras theorem, we get

➡ hypotenuse² = base² + perpendicular²

➡ 800cm = x² + x² (from equation (i) and (ii))

➡ 800cm = 2x²

➡ x² = 800/2

➡ x² = 400

➡ x = √400

➡ x = 20cm

Hence, the length of other sides is 20cm each.

VERIFICATION :-

LHS :-

= 800cm

RHS :-

= (20)² + (20)²

= 400cm + 400cm

= 800cm. Hence verified!

hopes this helps you

Answer 2

Answer:

We know that

Hyp^2 =side^2 +side^2

800^2 =x^2 +x^2

640,000=2x^2

320,000=x^2

400^1/2=x

So the two sides are 400 root 2, 400 root 2

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