Geometry Test 4

Pythagorean Theorem

a²+b²=c²

The legs make up (a) and (b)

remember the check marks on

a²+b²=c²

7²+8²=c²

and the square root answer

and the answer

draw it out if you dunno

Solve for a.

a²+b²=c²/

a²+12²=13² /

a²+144=169

a²=25 /

a=5 /

Pythagorean Converse

If a²+b²=c² then triangle is a right triangle.

(check that it is triangle then decide what kind)

Pythagorean Inequality

If a²+b²>c² then triangle is ACUTE.

If a²+b²<c² then triangle is OBTUSE.

(check what triangle it is then decide what kind)

PC

9,40,41

9+40=49>41 /

Triangle /

a²+b²?c²/

9²+40²?41²/

81+1600?1681

1681=1681/

Right/

PI

7,14,16

7+14=21>16 /

Triangle /

a²+b²?c² /

7²+14²?16²/

49+196?256

245<256 /

OBTUSE /

PI

suppose 25 is the longest side

x, x+5, 25

45-45-90 Right Triangle

10√2

x=10

30-60-90 Right Triangle

a=5

2(5)=10

5√3

2 Special Right Triangles