Given:
To find:
The value of x.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Since,, therefore
On substituting the values from the figure, we get
On cross multiplication, we get
Therefore, the value of x is 4.
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1 answer:
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Answer:
14, 48, 50
Step-by-step explanation:
To check which set of side length can be used to form a right triangle we use pythagorean theorem
c^2 = a^2 + b^2
biggest side (hypotenuse is c^2)
(a) 14, 48, 50
2500= 196+2304
2500= 2500 that is true
(b) 30, 40, 60
3600= 900+ 1600
3600= 2500 that is false
(c) 14, 50, 60
3600= 196+2500
2500= 2196 that is false
(d) 10, 24,28
784=100+576
784=676 that is false
Answer:
Option 1: CD is a perpendicular bisector of AB
Step-by-step explanation:
Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.
Formula to find slope
Formula to Find Distance between two points
mAB ( represents , Slope of AB )
1.
2.
3.
4.
5.
mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is
Hence CD ⊥ AB
Also
From Point 4 and point 5 above , we see that
AC = CB
Hence CD bisect AB at C, also CD ⊥ AB
There fore
CD is a perpendicular bisector of AB
Therefor option 1 is true
