Eighty percent of all dentists surveyed agree: Zilch toothpaste tastes best.
1 answer:
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Answer:
x = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4
Substitute given values into the equation
=
( cross- multiply )
3x = 24 ( divide both sides by 3 )
x = 8
Answer:
Length of BE is
Step-by-step explanation:
The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.
Now, the two parts of triangle have equal area ∴ ar(ADE)=ar(BDEC)
⇒
⇒
In ΔABE and ΔABC,
∠A=∠A (Common)
∠ABE=∠ABC (Corresponding angles)
By AA similarity, ΔABE is similar to ΔABC.
Hence by area side proportionality theorem
⇒
⇒
⇒ units
Hence, length of BE is
