A triangle has side lengths of 15, 20, and 25. What type of triangle is it?

Mathematics

2 answers:

Mrac [35]2 years ago

6 0

25^2 = 20^2 + 15^2
625 = 400 + 225
625 = 625

It's a right triangle.

lyudmila [28]2 years ago

3 0

<span>Its a RIGHT ANGLED TRIANGLE.

GIVEN:
hypo=25
opposite and adjacent=15 and 20.

FORMULA:
hypotenuse^2 =opposite side^2 + adjacent side^2
25^2=15^2+20^2
625=225+400
400+225=625

so its a right angled triangle....................

understand??</span>

You might be interested in

12 friends share four pizzas equally what fraction of the pizza does each friend get

KonstantinChe [14]

Since 12 friends share four pizzas equally,

3 friends share a pizza equally.

Hence, each friend gets 1/3 of a pizza.

6 0

3 years ago

Read 2 more answers

Answer asap............

diamong [38]

Answer:

6+(-2)

Step-by-step explanation:

6 is positive but we are subtracting 2. Therefore, the expression is 6 plus -2. It is negative because that is what we are taking away. The plus sign does not mean anything because there is a negative number. When you look at it, you immediately read 6 plus -2 and since it is a negative not a positive then it's subtracting not adding.

5 0

2 years ago

Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

$cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}$

$\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}$

4 0

2 years ago

In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$