If the triangle is isosceles and b is greater than a then,
(c) AC = BC is false.
An isosceles triangle in geometry is one with at least two equal-length sides. It can be defined as having exactly two equal-length sides or as having at least two equal-length sides, with the equilateral triangle being an exception to the second definition.
The triangle is an isosceles triangle and angle b is greater than angle b.
For option (A),
AB = BC, therefore a = c which is possible.
For option (B),
AB = AC, therefore b = c which is also possible.
For option (C),
AC = BC, therefore a =b.
But we have b > a. Hence AB = BC is false.
For option (D),
a = c, therefore AB = BC which is possible according to the properties of an isosceles triangle.
Option (C) is false.
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The complete question is mentioned below:
Figure not drawn to scale. The triangle above is isosceles and b > a. Which of the following must be FALSE?
A) AB = BC
B) AB = AC
C) AC = BC
D) a = c
Area of prism = area of base x height
area of prism = 1/2 x 6 x 8 x 13 = 312 cm²
The common difference is 4. If you look at the numbers 1 and 5, there is a difference of 4. If you look at 5 and 9, there is also a difference of 4. If you look at 9 and 13, there is a difference of 4. Therefore, in this arithmetic sequence, the common difference is 4.
Answer:
There are 48 children.
Step-by-step explanation:
Given :There are 3 times as many boys as girls.
There are 24 more boys than girls,
To Find : how many children are there?
Solution:
Let the number of girls be x
Now we are given that there are 3 times as many boys as girls.
So, no. of boys = 3x
Now we are given that there are 24 more boys than girls.
So, 
So, no. of girls = 12
No. of boys = 3x = 3(12) = 36
Now the total no. of children = 12+36 = 48
Hence there are 48 children.
