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Byju's Answer
Standard VII
Mathematics
Relation between Areas of Squares Drawn on Sides of a Right Triangle
The area of t...
Question
The area of
the square
built upon the hypotenuse of a right triangle is equal to the
sum
of the areas of the
squares
upon the remaining sides
A
True
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B
False
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Solution
The correct option is
A
True
The Statement is True,
According to pythagorean theorem,the sum of the square A and B is equal to the square C.
a
r
e
a
o
f
C
=
c
2
a
r
e
a
o
f
B
=
b
2
a
r
e
a
o
f
A
=
a
2
From the theorem,
Area of A+Area of B= Area of C
a
2
+
b
2
=
c
2
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Similar questions
Q.
Assertion :If the area of squares on any two sides of a right-angled triangle are known, the area of remaining square can be calculated. Reason: For a right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares of its remaining two sides.
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Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.
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In a right triangle, the length of the hypotenuse is equal to the square of the sum of lengths of the remaining two sides.
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In a right-angled, triangle the area of the square drawn on the Hypotenuse is
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