Which number can you add to any rational number to obtain an irrational number?
1 answer:
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Answer: Hence, the correct size of boys group is 5 and girls is 6.
Step-by-step explanation:
Since we have given that
Number of boys = 60
Number of girls = 72
We need to divide the students into gender specific groups of the largest possible size.
For this we will find "HCF of 60 and 72" which is equal to "12".
So, the correct size of each group is 12 in which number of boys would be
Number of girls would be
Hence, the correct size of boys group is 5 and girls is 6.
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2, and
.
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²
19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.