Can atriangle be formed with side lengths of 5cm. 10cm and 15cm

Answers

Answer 1

Answer: Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc

In this case:
a=15 cm
b=10 cm
c=5 cm

cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1

A=arc cos -1=180º This is impossible, because:

A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).

Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.

Answer 2

Answer: remember
longest side must be less than the sum of the other 2 sides because if it is eqal than you get a line, and if it is longer, then you cannot connect the points

longest side is 15
15<10+5
15<15
fasle

no triangle can be formed

Related Questions

As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for each shipment. The expression 14.99n + 4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs.
you recently purchased an item the cost $84.99 before tax. the tax on the item was $7.22. what was the tax rate?
Evaluate. −|a+b|/2−c when a=1 3/5 , b=−2 , and c=−7 as a simplified fraction
What is (-i)^6? I need help please....
The surface area of a triangular pyramid is 375.2 m2. What would change if the surface area were measured in square centimeters? A. The surface area of the pyramid would decrease. B. The surface area of the pyramid would increase. C. The surface area of the pyramid would stay the same, but the number representing the surface area would decrease. D. The surface area of the pyramid would stay the same, but the number representing the surface area would increase

A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldfish?

Answers

18 goldfish+22 guppies=40 total
18/40 are goldfish and 22/40 are guppies
Odds that 1 goldfish is chosen at random is 18/40 or 9/20 when simplified so odds that 2 goldfish are chosen at random is 9/20×9/20=81/400 or 20.25%

Someone help me PLZZ

Answers

Answer:

5/3

Step-by-step explanation:

The slope is the coefficient next to the x. Therefore, the slope is 5/3.

Answer:

m= 5/3

Step-by-step explanation:

Math wizzz

Worked it out

And online calculator verified!

HELP FAST!!!!!! What percent of 51 is 42? If necessary, round to the nearest tenth of a percent.a)0.8%
b)45.2%
c)121.4%
d)82.4%

Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent if necessary.

a)133.3%
b)0.3%
c)25%
d)33.3%