*If the sides of a right-angled triangle are equal to a cm and b cm, then what is the length of the largest side?
Answers
Answer:
(i) Let us assume the largest value is the hypotenuse side c=25cm
Then, by Pythagoras theorem
c2=a2+b2
252=152+202
625=225+400
625=625
The sum of square of two side of triangle is equal to the square of third side
∴ the given triangle is right-angled triangle
(ii) Let us assume the largest value is the hypotenuse side c=16cm
Then, by Pythagoras theorem
c2=a2+b2
162=92+122
256=81+144
256=225
The sum of square of two side of triangle is not equal to the square of third side
∴ the given triangle is not a right-angled triangle
(iii) Let us assume the largest value is the hypotenuse side c=26cm
Then, by Pythagoras theorem
c2=a2+b2
262=102+242
676=100+576
676=676
The sum of square of two side of triangle is equal to the square of third side
∴ the given triangle is right-angled triangle
Answer:
√a²+b² cm
Step-by-step explanation:
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