All categories

3 years ago

Why is it that the orthocenter of an obtuse triangle must lie on the outside of the triangle?

1 answer:

Taya2010 [7]3 years ago

6 0

It is important to understand the meaning of orthocenter in respect to a triangle first. Ii is actually the intersection of all the altitudes within a triangle. The altitudes can be drawn from an angle to the opposite side but the line should create a right angle with the side of the triangle. In case of obtuse triangle, the three lines would meet outside the triangle. I hope the answer helps.

You might be interested in

It is important to know the appropriate dose of ibuprofen for a child so that you are ready in the case of high fever. The dosin

Alexus [3.1K]

Answer:

102 mg

Step-by-step explanation:

Let's convert 28 pounds to kgs.

Since 1 kg = 2.2 pounds, we can find:

$\frac{1Kg}{2.2Pounds}=\frac{xKg}{28Pounds}\\1*28=2.2x\\28=2.2x\\x=\frac{28}{2.2}\\x=12.73$

So 28 pounds is 12.73 Kg

Since 8mg is given per kg, for 12.73 kg, the amount given should be:

12.73 * 8 = 101.84

Rounded to nearest whole number, that is, 102 mg

8 0

4 years ago

Read 2 more answers

74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec

Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

$P(\hat{p}$

So,

$(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )$

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0

3 years ago

ava pours 3 gallons of paint equally into 5 cans. how many gallon of paint will there be in each can?

IrinaK [193]

Answer:

15 gallons of paint

Step-by-step explanation:

5 x 3 = 15

equal groups !

6 0

3 years ago

Find the product of the solutions of this equation 2x^2+26x+156=0

NARA [144]

Check the attached file for the answer.

7 0

4 years ago

15/40 in lowest term I need it so bad now

Vesnalui [34]

In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.

Do 15 and 40 have any common factors ?
Let's see . . .

The factors of 15 are 1, 3, 5, and 15 .
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .

Ah hah ! Do you see that ' 5 ' on both lists ? That's a common factor.

So 15/40 is NOT in lowest terms.

Divide the numerator and denominator both by 5 :

15 / 40 = 3 / 8

3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.

5 0

3 years ago

Read 2 more answers