Continuing to Payment will take you to apayment page

Purchasing
SparkNotes PLUS
for a group?

Get Annual Plans at a discount when you buy 2 or more!

Price

$24.99$18.74/subscription + tax

Subtotal $37.48 + tax

Save 25%
on 2-49 accounts

Save 30%
on 50-99 accounts

Want 100 or more?
Contact us
for a customized plan.

Continuing to Payment will take you to apayment page

Your Plan

Payment Details

Payment Details

Payment Summary

SparkNotes Plus

You'll be billed after your free trial ends.

7-Day Free Trial

Not Applicable

Renews September 28, 2023September 21, 2023

Discounts (applied to next billing)

DUE NOW

US $0.00

SNPLUSROCKS20 | 20%Discount

This is not a valid promo code.

Discount Code(one code per order)

SparkNotes PLUS
Annual Plan - Group Discount

Qty: 00

SubtotalUS $0,000.00

Discount (00% off)
-US $000.00

TaxUS $XX.XX

DUE NOWUS $1,049.58

SparkNotes Plus subscription is $4.99/month or $24.99/year as selected above. The free trial period is the first 7 days of your subscription. TO CANCEL YOUR SUBSCRIPTION AND AVOID BEING CHARGED, YOU MUST CANCEL BEFORE THE END OF THE FREE TRIAL PERIOD. You may cancel your subscription on your Subscription and Billing page or contact Customer Support at custserv@bn.com. Your subscription will continue automatically once the free trial period is over. Free trial is available to new customers only.

Choose Your Plan

Your Free Trial Starts Now!

For the next 7 days, you'll have access to awesome PLUS stuff like AP English test prep, No Fear Shakespeare translations and audio, a note-taking tool, personalized dashboard, & much more!

Thank You!

You’ve successfully purchased a group discount. Your group members can use the joining link below to redeem their group membership. You'll also receive an email with the link.

No URL

Copy

Members will be prompted to log in or create an account to redeem their group membership.

Thanks for creating a SparkNotes account! Continue to start your free trial.

Please wait while we process your payment

Your PLUS subscription has expired

We’d love to have you back! Renew your subscription to regain access to all of our exclusive, ad-free study tools.

A triangle with one right angle is called a
right triangle. The side opposite the right angle is called the
hypotenuse of the triangle. The other two sides are called
legs. The
other two angles have no special name, but they are always
complementary. Do you see why?
The total angle sum of a triangle is 180 degrees, and the right angle is 90
degrees, so the other two must sum to 90 degrees.

The triangle above has side c as its hypotenuse, sides a and b as its legs, and angle C as its right angle. Angles A and
B are complementary.

There are two types of right triangles that every mathematician should know very
well. One is the right triangle formed when an
altitude is drawn from a vertex of an
equilateral triangle, forming two congruent right triangles. The angles of
the triangle will be 30, 60, and 90 degrees, giving the triangle its name: 30-60-90
triangle. The ratio of side lengths in such triangles is always the
same: if the leg opposite the 30 degree angle is of length x, the leg opposite
the 60 degree angle will be of x, and the hypotenuse across from the
right angle will be 2x. Here is a 30-60-90 triangle pictured below.

The other common right triangle results from the pair of triangles created when
a diagonal divides a square into two triangles.
Each of these triangles is congruent, and has angles of measures 45, 45, and 90
degrees. If the legs opposite the 45 degree angles are of length x, the
hypotenuse has a length of x. This ratio holds true for all
45-45-90 triangles. 45-45-90 triangles are also often called isosceles right
triangles.

One last characteristic to note is that the legs of a right triangle are also
altitudes of the triangle. Therefore, the area
of a right triangle is one-half the product of the lengths of its legs.