Materi : Teorama Phytagoras
x² = 10² - 6²
x² = 100 - 36
x² = 64
x = 8
---
y² = 17² - x²
y² = 289 - 64
y² = 225
y = 15
x² = 12² + 5²
x² = 144 + 25
x² = 169
x = 13
( y + 5 )² = 20² - 12²
( y + 5 )² = 400 - 144
( y + 5 )² = 256
y + 5 = 16
y = 11
( x + 14 )² = 25² - 7²
( x + 14 )² = 625 - 49
( x + 14 )² = 576
x + 14 = 24
x = 10
y² = 26² - x²
y² = 676 - 100
y² = 576
y = 24
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
1) X = √10² - 6²
= √(10(10) - (6(6)
= √100 - 36
= √64
= √(8(8)
= √8²
= 8
===============
Y = √17² - 8²
= √(17(17) - (8(8)
= √289 - 64
= √225
= √(15(15)
= √15²
= 15
2) X = √12² + 5²
= √(12(12) + (5(5)
= √144 + 25
= √169
= √(13(13)
= √13²
= 13
Y + 5 = √20² - 12²
Y + 5 = √(20(20) - (12(12)
Y + 5 = √400 - 144
Y + 5 = √256
Y + 5 = √(16(16)
Y + 5 = √16²
Y + 5 = 16
Y = 16 - 5
Y = 11
3) X + 14 = √25² - 7²
X + 14 = √(25(25) - (7(7)
X + 14 = √625 - 49
X + 14 = √576
X + 14 = √(24(24)
X + 14 = √24²
X + 14 = 24
X = 24 - 10
X = 20
======================
Y = √26² - 10²
= √(26(26) - (10(10)
= √676 - 100
= √576
= √(24(24)
= √24²
= 24
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Materi : Teorama Phytagoras
Soal Nomor 1
x² = 10² - 6²
x² = 100 - 36
x² = 64
x = 8
---
y² = 17² - x²
y² = 289 - 64
y² = 225
y = 15
Soal Nomor 2
x² = 12² + 5²
x² = 144 + 25
x² = 169
x = 13
---
( y + 5 )² = 20² - 12²
( y + 5 )² = 400 - 144
( y + 5 )² = 256
y + 5 = 16
y = 11
Soal Nomor 3
( x + 14 )² = 25² - 7²
( x + 14 )² = 625 - 49
( x + 14 )² = 576
x + 14 = 24
x = 10
---
y² = 26² - x²
y² = 676 - 100
y² = 576
y = 24
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
1) X = √10² - 6²
= √(10(10) - (6(6)
= √100 - 36
= √64
= √(8(8)
= √8²
= 8
===============
Y = √17² - 8²
= √(17(17) - (8(8)
= √289 - 64
= √225
= √(15(15)
= √15²
= 15
2) X = √12² + 5²
= √(12(12) + (5(5)
= √144 + 25
= √169
= √(13(13)
= √13²
= 13
===============
Y + 5 = √20² - 12²
Y + 5 = √(20(20) - (12(12)
Y + 5 = √400 - 144
Y + 5 = √256
Y + 5 = √(16(16)
Y + 5 = √16²
Y + 5 = 16
Y = 16 - 5
Y = 11
3) X + 14 = √25² - 7²
X + 14 = √(25(25) - (7(7)
X + 14 = √625 - 49
X + 14 = √576
X + 14 = √(24(24)
X + 14 = √24²
X + 14 = 24
X = 24 - 10
X = 20
======================
Y = √26² - 10²
= √(26(26) - (10(10)
= √676 - 100
= √576
= √(24(24)
= √24²
= 24