All categories

3 years ago

What is the length of the longest side of a triangle that has the vertices (-5, 6), (-5, -2), and (1, -2)?

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

Check the picture below.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -5 &,& 6~) 
% (c,d)
&&(~ 1 &,& -2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[1-6]^2+[-2-(-5)]^2}\implies d=\sqrt{(1-6)^2+(-2+5)^2}
\\\\\\
d=\sqrt{(-5)^2+3^2}\implies d=\sqrt{25+9}\implies d=\sqrt{34}$

You might be interested in

GEOMETRY!!!! Will give brainliest

nadya68 [22]

Answer: rectangle

Hope itz right

5 0

2 years ago

A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?

alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is $\frac{1}{13}$ .

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is $4\times 51!$ .

The probability that the last card dealt is an ace is

$P=\frac{4\times 51!}{52!}$

$P=\frac{4\times 51!}{52\times 51!}$

$P=\frac{4}{52}$

$P=\frac{1}{13}$

Therefore, the probability that the last card dealt is an ace is $\frac{1}{13}$ .

4 0

2 years ago

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round

TEA [102]

In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span> $\frac{13}{sin90^o}= \frac{12}{sin \alpha } \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}= \frac{12*1}{13} \approx 0.923 \ \ \to \ m\angle \alpha \approx 67^o$

In a triangle, the three interior angles always add to 180° ⇒

third angle = 180 - 90 - 67 = 23°

Answer:
67° and 23° (to the nearest degree).

4 0

2 years ago

Read 2 more answers

Is the value of the first 5 in California's population 10 time as great as the value of the second 5 explain

Nadusha1986 [10]

Yes because 5×2 is 10. I really hope that helps

6 0

2 years ago

Plot connect the points to make picture. Please

mixas84 [53]

Answer:

that is what it would look like