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3 years ago

Two triangles that have the same side length will always be congruent true or false?

Mathematics

2 answers:

juin [17]3 years ago

7 0

True because congruent means identical in form.

umka2103 [35]3 years ago

7 0

Answer:

The answer is true.

Step-by-step explanation:

We have to tell about the statement true or false

Two triangles that have the same side length will always be congruent

The SSS congruency rule states that if all three sides of one triangle are equal to corresponding three sides of another triangle, then the triangles are congruent.

∴ we say that when the sides are the same then the triangles are congruent.

Hence, answer is true

because the definition of a congruent triangle is a triangle with every side of same length.

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3 years ago

What is the height of the triangle? A) 17 units B) 34units C) 51units D) 68units <br><br> Help??

drek231 [11]

Answer:

51 units

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

The reason this is relevant here is that in your case, you start with an equilateral triangle, FGH. An equilateral triangle is also equiangular, so all angles are congruent and measure 60 deg.

m<F = m<FGH = m<H = 60 deg

When the height GR is drawn, <FGH is bisected creating two 30-60-90 degree triangles, FGR and HGR.

The altitude GR also bisects side HF, so

HR = FR = (1/2)HF = 17*sqrt(3)

In 30-60-90 degree triangle FRG, the short leg is FR; the long leg is GR; the hypotenuse is FG.

Now we use the ratio of the lengths of the sides of a 30-60-90 degree triangle.

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

We use only the short leg and long leg parts of the ratios.

17*sqrt(3) : GR = 1 : sqrt(3)

GR * 1 = 17 * sqrt(3) * sqrt(3)

GR = 17 * 3

GR = 51

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Given information-

The data table for the given problem is attached below.

<h3>Customer price index</h3>

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$CPI_t=\dfrac{C_t}{C_0} \times 100$