Math, asked by hemlatadevi234, 3 months ago

in∆abc ab=7cm bc=24cm ca=25 cm determine whether it is a right triangle

Answers

Answered by MalayaDhal

Answer:

7²+24²=625

25²=625

So, it is a right angle triangle.

Answered by pinkybansal1101

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QUESTION :

in ∆abc ab=7cm bc=24cm ca=25 cm determine whether it is a right triangle

GIVEN :

AB = 7 cm
BC = 24 cm
CA = 25 cm

TO DETERMINE :

If the triangle is right angled triangle or not

LET'S START :

Let's try if the triangle satisfies Pythagoras Theorem or not

RHS =

$= {25}^{2} = 625$

LHS =

$= {7}^{2} + {24}^{2} = 49 + 576$

$= 625$

LHS = RHS

Thus the sides of the triangle satisfies Pythagoras Theorem. Hence the triangle is Right Angled Triangle.

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PYTHAGORAS THEOREM :

According to the Pythagoras Theorem in a right angled triangle (only and only) the square of the largest side( called the Hypotenuse) , is equal to the sum of the squares of the other two sides ( called base and perpendicular) .

In a triangle ABC if AC is the longest side and Angle B = 90 ° then According to Pythagoras Theorem

$\boxed{AC² = AB² + BC²}$

________________

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in∆abc ab=7cm bc=24cm ca=25 cm determine whether it is a right triangle​

Answers

QUESTION :

GIVEN :

TO DETERMINE :

LET'S START :

LHS = RHS

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PYTHAGORAS THEOREM :

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in∆abc ab=7cm bc=24cm ca=25 cm determine whether it is a right triangle