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4 years ago

How many different triangles can you make from 6 cm,6 cm, and 4 cm?

Mathematics

1 answer:

lubasha [3.4K]4 years ago

4 0

Answer:

Step-by-step explanation:

The sides of a triangle are 6cm, 6cm, and 4cm.

According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.

So,

6+6=12>4

6+4=10>6

4+6=10>6

Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.

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An engineer, in an attempt to make a quick measurement, walks 100 ft from the base of an overpass

Korvikt [17]

Answer:

The distance of the overpass above the ground is approximately 26.795 ft

Step-by-step explanation:

The parameters given are;

The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft

The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°

By trigonometric ratios, we have;

$Tan(\theta) = \dfrac{Opposite \, side \, to\ angle}{Adjacent\, side \, to\, angle}$

The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground

The opposite side to the 15° is the distance of the engineer from the base of the overpass

Therefore;

Tan(15°) the height of the overpass=

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$Tan(15 ^{\circ}) = \dfrac{The \ distance \, of \, the \ overpass \ above \ ground}{100 \ ft}$

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6 0

3 years ago

The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side

Sedbober [7]

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

8 0

3 years ago