Math, asked by Anonymous, 1 year ago

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Answered by arjun6068
3
If the given lengths are the lengths of the sides of a right triangle, then these lengths will satisfy, i.e., make true, the equation of the Pythagorean Theorem which is:
a² + b² = c², where a and b are the lengths of the two shorter sides of the right triangle, and c is the length of the hypotenuse which is the longest side and the side opposite the right angle. Now, let a = BC = 24 cm, b = AC = 7 cm, and c = AB = 25 cm.
Now, substituting into the Pythagorean Theorem equation , we get:
a² + b² = c²
(24 cm)² + (7 cm)² = (25 cm)² 
576 cm² + 49 cm² = 625 cm² 
625 cm² = 625 cm²
We now see that the equation of the Pythagorean Theorem is satisfied by the given lengths, and, therefore, the 3 sides of lengths AB = 25cm, BC = 24 cm, and AC = 7 cm are the sides of a right triangle.

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Answered by shivanidixit2002
2

Answer:

yes

Step-by-step explanation:

we know that the sum of lengths of any two sides of the triangle is greater than the the length of the third side

so if we check 24<25+7  therefore BC>AB+AC

25<24+ 7 hence AB<BC+AC

and 7<24+25 hence AC<AB+BC


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