All categories

2 years ago

The lengths of the sides of a triangle are 9, 12, and 18. Classify the triangle as acute, right, or obtuse.

Mathematics

1 answer:

Nataliya [291]2 years ago

5 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Assign the largest value to 'c'

If a² + b² = c² , then it is right triangle

If a² + b² > c², then it si acute triangle

If a² + b² < c² , then it is obtuse triangle

Here, a = 9 , b = 12 & c = 18

a² + b² = 9² + 12²

= 81 + 144

a² + b² = 225

c² = 18²

c² = 324

a² + b² < c²

225 < 324

So, 9, 12 , 18 form a obtuse triangle

You might be interested in

Solve (2x + 5)= (2x + 3)(2x - 1)

AlexFokin [52]

$(2x + 5)= (2x + 3)(2x - 1)\\2x+5=4x^2-2x+6x-3\\4x^2-2x+6x-3-2x-5=0\\4x^2+2x-8=0\\(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\ x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}$

4 0

2 years ago

Read 2 more answers

A restaurant has 60 tables. The graph shows the average number of tables occupied during each day of the week. During which day

Naddika [18.5K]

Answer: Saturday

Step-by-step explanation:

Saturday is at the highest point meaning it has less empty tables

8 0

2 years ago

Write the ratio 36 computers for every 6 students in 3 ways

rjkz [21]

Answer:

Step-by-step explanation:

Lol

6 0

2 years ago

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.