1st Image:-
Answer:
a) No
b) No
c) Yes
d) No
Step-by-Step Explanation:
We can use the Pythagoras Theorem to check whether it is a right triangle.
Hypotenuse^2 = 1st Side^2 + 2nd Side^2
a) 7, 12, 14
Therefore,
=> 14^2 = 7^2 + 12^2
=> 196 = 193
RHS is not equal to LHS.
Therefore, its not a Right Triangle.
b) 6, 14, 19
Therefore,
=> 19^2 = 6^2 + 14^2
=> 361 = 232
RHS is not equal to LHS.
Therefore, its not a Right Triangle.
c) 12, 35, 37
Therefore,
=> 37^2 = 12^2 + 35^2
=> 1369 = 1369
RHS is equal to LHS.
Therefore, it is a Right Triangle.
d) 4, 8, 9
Therefore,
=> 9^2 = 4^2 + 8^2
=> 81 = 80
RHS is not equal to LHS.
Therefore, its not a Right Triangle.
2nd Image:-
Answer: 352 ft^3
Step-by-Step Explanation:
r = 4 ft
h = 7 ft
Volume = πr^2h
Therefore,
= πr^2h
= π * r^2 * h
= 3.14 * 4^2 * 7
= 3.14 * 16 * 7
= 351.68
Volume = 351.68 ft^3
Rounded off = 352 ft^3
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