Lesson 9.1-9.2 WSSOLUTIONS

Worksheet SOLUTIONS

5625−5184=𝑎2

441=𝑎2

√ 441=𝑎

21=𝑎

752=722+𝑎2196−64=𝑎2

132=𝑎2

√132=𝑎

142=82+𝑎2

a

𝑝2=441+132

𝑝=√57 3

𝑝2=212+√1322

𝑝2=57 3

3

676−576=𝑎2

100=𝑎2

√100=𝑎

262=242+𝑎2

100−36=𝑥2

𝑥=√64

102=62+𝑥2

𝑥2=64

a

𝑎=10𝑥=8

39=126 𝑥

39=3 𝑥13=𝑥

x

h2=169+36

h=√205

h2=132+62

h2=205

h≈14.32 𝑖𝑛

𝐴=126∗√ 40

𝐴=3∗√ 40

49−9=h2

40=h2

√ 40=h

72=32+h2

3

𝐴≈18.97 𝑓𝑡 2

3

4

C = (11, -1)

𝐴𝐵=√25𝐴𝐵2=32+42

𝐴𝐵=5

6.8

13.4−7.7=5.7

5.7

6.82=5.72+𝑥2

x

46.24=32.49+𝑥2

13.75=𝑥2

√𝟏𝟑 .𝟕𝟓=𝒙𝐴=𝑏∗h

𝐴=13.4∗√13.75𝑨≈𝟒𝟗 .𝟔𝟗𝒄𝒎𝟐

3

3

𝑅𝑇 2=18𝑅𝑇=√18

𝑅𝑇 2=32+32

𝑅𝑇=𝑇𝑈=√18

𝑅𝑈 2≈32+(7.2426)2𝑆𝑇 +𝑇𝑈=𝑺𝑼=3+√18≈7.2426

𝑅𝑈 2≈61.4552𝑹𝑼 ≈𝟕 .𝟖𝟑𝟗𝟑

4.2426 7.8393

𝑅𝑉 2≈32+(15 .0819)2

𝑅𝑉 2≈236 .4637𝑹𝑽 ≈𝟏𝟓 .𝟑𝟖𝐜𝐦

𝑟2=16𝑟=4

4

Hypotenuse should be the longest side of a right triangle

3

PQ

R

15

20

𝑅𝑄2=152+202

𝑅𝑄2=225+400𝑅𝑄2=625𝑅𝑄=25

𝐴=1215∗20

𝐴=150 𝑖𝑛2

Worksheet SOLUTIONS

1202=982+762

14400=9604+577614400<15380

ACUTE ∆

2212=2042+852

48841=41616+722548841=48841

RIGHT ∆

52=4.82+1.4

25=23.04+1.96

25=25RIGHT ∆

822=802+182

6724=6400+3246724=6724

RIGHT ∆

7

3.5

72¿3.52+𝑥2

𝒙

49−12.25=𝑥2

36.75=𝑥2

√36.75=𝑥𝟔 .𝟎𝟔𝟐𝟐≈ 𝑥

A≈ ½ *7*

A ≈ 21.2177

2.5

42.25=36+6.256.52=62+2.52

42.25=42.25

Pyth thm works

90°

452=72+𝑥2

2025−49=𝑥2

1976=𝑥2

√1976=𝑥

4 4.45≈𝑥

3

4

6

6❑2 32+42

36≠9+16 NOT a Rectangle

5❑2 32+42

25=9+16 YES a Rectangle

Cannot be determined – No hypotenuse given