2. In ∆, = √8, = √5, = √3. ∆ a right angled triangle? I
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Step-by-step explanation:
A right-angled triangle always has a hypotenuse i.e. the side opposite to the right angle .
According to the Pythagoras theorem , the sum of the squares of the measurements of the two sides of a right-angled triangle must be equal to that of the hypotenuse .
Verification :—
√8 = √5 + √3
⟹ (√8)² = (√5)² + (√3)²
⟹ 8 = 5 + 3
⟹ 8 = 8
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Side AC=√8, SideAB=√3 and side BC=√5
by Pythagoras theorem
(Hypotenuse)2=(Base)2+(Height)2
(√8)2=(√5)2+(√3)2
8=5+3
8=8
Hence,the given statement is correct
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