Mathematics, 03.08.2019 16:30 jojo492192

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. a second side of the triangle is 6.9 cm long. find the longest and shortest possible lengths of the third side of the triangle. round answers to the nearest tenth of a centimeter.

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Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.

If BP= 6 cm and CP= 5 cm, we have:

BP/CP = AB/AC

We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:

1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm

2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm

Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.

Answer from: HistoryLee

The answer is D) 8.3 cm, 5.8 cm

Step-by-step explanation:

The answers for the U3L5: Proportions in Triangles Quiz in Connexus are:

1. A) ∆UVW ~ ∆UWT ~ ∆ WVT

2. A) $a=\frac{9}{2} , b=\frac{15}{2}$

3. A) 5

4. A) $46\frac{2}{3}\:yards$

5. D) 8.3 cm, 5.8 cm

I just took the quiz and got 100%

hope this helps :)

Answer from: Quest

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean = $\frac{2+3+4+5+6+7+8+9}{8}=\frac{44}{8}=5.5$

also, median= $\frac{5+6}{2}=\frac{11}{2}=5.5$ , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean = $\frac{2+3+4+5+6}{5}=\frac{20}{5}=4$

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

Answer from: Quest

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

$\frac{48}{4}$ = 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

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