What is the value of x?
2 units,3 units, 5 units, 8 units
Solution:
Given, ABC is a triangle.
We have to find the value of x.
From the figure,
∠B = ∠D = 90°
BD = 10 units
AD = x units
DC = 4x units
△ADB ~ △ABC ( AA similarity)
△BDC ~ △ABC ( AA similarity)
Therefore
△ADB ~ △BDC
We know that if two triangles are similar, then the ratio of their corresponding heights are the same.
BD/DC = AD/BD
10/4x = x/10
x(4x) = 10(10)
4x² = 100
x² = 100/4
x² = 25
On taking square root,
x = √25
x = 5 units
Therefore, the value of x is 5 units.
What is the value of x? 2 units,3 units, 5 units, 8 units
Summary:
The value of x is 5 units.