Make a model to illustrate properties of quadrilaterals.
Angle sum property of quadrilateral (b) Exterior angle property of quadrilateral
please tell the answer of this question maths activity
Answers
Answer:
Before talking about the quadrilaterals angle sum property, let us recall what angles and quadrilateral is. The angle is formed when two line segment joins at a single point. An angle is measured in degrees (°). Quadrilateral angles are the angles formed inside the shape of a quadrilateral. The quadrilateral is four-sided polygon which can have or not have equal sides. It is a closed figure in two-dimension and has non-curved sides. A quadrilateral is a polygon which has 4 vertices and 4 sides enclosing 4 angles and the sum of all the angles is 360°. When we draw a draw the diagonals to the quadrilateral, it forms two triangles. Both these triangles have an angle sum of 180°. Therefore, the total angle sum of the quadrilateral is 360°. Angle sum is one of the properties of quadrilaterals. In this article, w will learn the rules of angle sum property.
Explanation:
Answer:
3x² + 10x - 8 = 0
Step-by-step explanation:
Let the roots of the given equation
3x² + 5x -2 = 0
be α and β
Sum of roots = -(Coefficient of x/Coefficient of x²)
α + β = -5/3
Product of roots = Constant term/Coefficient of x²
αβ = -2/3
Let the roots of required equation be λ and μ.
According to question
λ = 2α
and
μ = 2β
Thus the required quadratic equation will be,
x² - (λ + μ)x + λμ = 0
x² - (2α + 2β)x + 2α.2β = 0
x² - 2(α + β)x + 4αβ = 0
x² - 2(-5/3)x + 4(-2/3) = 0
x² + (10/3)x - (8/3) = 0
(3x² + 10x - 8)/3 = 0
3x² + 10x - 8 = 0
Which is the required quadratic equation.
Alternate Method:-
Given quadratic equation is
3x² + 5x - 2 = 0
Putting Replacing x with x/2,
\begin{gathered}3(\frac{x}{2})^2+5\frac{x}{2}-2=0\\\;\\\frac{3x^2}{4}+\frac{5x}{2}-2=0\\\;\\\frac{3x^2+10x-8}{4}=0\\\;\\3x^2+10x-8=0\end{gathered}
3(
2
x
)
2
+5
2
x
−2=0
4
3x
2
+
2
5x
−2=0
4
3x
2
+10x−8
=0
3x
2
+10x−8=0
Which is the required quadratic equation.