Right Triangles

The Pythagorean theorem. In MathBound, the free Algebra I adventure game, Ladder Leaner asks these problems, and the only way past is to solve them.

Part of Expressions and Real Numbers: chapter 1 of the standard course.

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

The Pythagorean Theorem. Find the hypotenuse from two whole-number legs.
Trigonometric Ratios. Write sin, cos or tan of an acute angle as a ratio of sides.

Made by the game’s own question engine. Try each one, then open its steps.

What

is

the

distance

between

(5, - 1)

and

(17, - 6) ?

Show the worked steps

$The$ $run$ $is$ $12$ $and$ $the$ $rise$ $is$ $5 :$ $the$ $legs$ $of$ $a$ $right$ $triangle.$
$d = 169 = 13 .$

Answer: $13$

Which

three

lengths

do

NOT

make

a

right

triangle?

Show the worked steps

Answer: $40, 42, 59$

Textbook	Lessons
Standard course	1.5, 10.4
Carnegie Learning Algebra I	M5 3.3
CPM Core Connections Algebra	9.1.4, 10.2.6
Eureka Math Algebra I (EngageNY)	4.23-4.24
Glencoe Algebra 1	10-5, 10-6
HMH Into Algebra 1	18.4
Illustrative Mathematics Algebra 1	7.24
Illustrative Mathematics Algebra 1 (v.360)	8.24
Math Nation Algebra 1 (Florida B.E.S.T.)	9.11
MVP Mathematics I (Integrated Math 1)	8.1
Open Up NC Math 1 (MVP)	8.1
OpenStax Elementary Algebra 2e	3.4, 10.4
Pearson Algebra 1 Common Core	10-1, 10-6