A pattern rule is square, triangle, circle, oval. What is the 50th shape?
1 answer:
Patterns are used to represent sequence of numbers.
The shape at the 50th position is a triangle
The pattern rule is given as: square, triangle, circle, oval.
The number of shapes (n) is given as:
So, the 50th shape is calculated using the following absolute operator
i.e. divide 50 by 4, and take note of the remainder.
When 50 is divided by 4, the remainder is 2
So, we have:
This means that, the shape at the 50th position is the same shape at the 2nd position.
Hence, the shape is triangle
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Answer:
Area of triangle is 25.
Step-by-step explanation:
We have been given an isosceles right triangle
Isosceles triangle is the triangle having two sides equal.
Figure is shown in attachment
By Pythagoras theorem
AD is altitude which divides the triangle into two parts
DC=5 implies BC =10 since D equally divides BC
Let AC=a implies AB=a being Isosceles
On substituting the values in the Pythagoras theorem:
WE can find area of right triangle by considering height AB and AD
Area of triangle ABC is:
(1)
And other method of area of triangle is:
(2)
Equating (1) and (2) we get:
Using area of triangle is:
Now, the area of triangle ABC=
The equation factors as
.. (x +3)(x +4) = 0
By the zero-product rule, the roots are
.. x1 = -4
.. x2 = -3
.. (x +3)(x +4) = 0
By the zero-product rule, the roots are
.. x1 = -4
.. x2 = -3