the length of a right angle triangle are equal. the square of hypotenuse is 1800 cm².
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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!
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