Mathematics, 04.07.2019 13:40 juliana211

Triangle mrn is created when an equilateral triangle is folded in half. what is the value of y? a. 2√3 units b. 4 units c. 4√3 units d. 8 units

Answers: 2

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Answer from: gianababnnna

we know that

If Triangle MRN is created when an equilateral triangle is folded in half

then

$RM=\frac{1}{2}*MN$

$MN=6+2=8\ units$

$RM=\frac{1}{2}*8=4\ units$

Applying the Pythagorean Theorem in triangle MRN

$MN^{2}=NR^{2}+RM^{2}$

we have

$MN=8\ units$

$RM=x=4\ units$

NR=y

substitute

$8^{2}=y^{2}+4^{2}$

solve for y

$y^{2}=8^{2}-4^{2}$

$y^{2}=48$

$y=\sqrt{48}=4\sqrt{3}\ units$

therefore

the answer is the option C

$4\sqrt{3}\ units$

Answer from: ovoxotas

The correct option is C.

Step-by-step explanation:

It is given that triangle MRN is created when an equilateral triangle is folded in half.

It means original equilateral is triangle MNO and NR is a perpendicular bisector. The side length of the triangle is

MO=NO=MN=MS+SN=2+6=8

Since NR is a perpendicular bisector, therefore

$RM=\frac{MO}{2}=\frac{8}{2}=4$

Using Pythagoras property in triangle MNR,

MR^2+NR^2=MN^2

4^2+y^2=8^2

y^2=64-16

$y=\sqrt{48}$

$y=4\sqrt{3}$

Therefore option C is correct.

Triangle mrn is created when an equilateral triangle is folded in half. what is the value of y? a.

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

Answer from: Quest

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that runner b is moving at a slower rate."

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