Phytagoras
[tex]x = \sqrt{ {12}^{2} + {5}^{2} } \\ x= \sqrt{144 + 25} \\ x = \sqrt{169} = 13 \\ \\ y + 5 = \sqrt{ {20}^{2} - {12}^{2} } \\ y + 5 = \sqrt{400 - 144} \\ y + 5 = \sqrt{256} \\ y + 5 = 16 \\ y = 16 - 5 \\ y = 11[/tex]
x = √12² + 5²
= √(12(12) + (5(5)
= √144 + 25
= √169
= √13²
= 13
y = √20² - 12² - 5
= √(20(20) - (12(12) - 5
= √(400 - 144) - 5
= √(256) - 5
= √16² - 5
= 16 - 5
= 11
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Verified answer
Phytagoras
[tex]x = \sqrt{ {12}^{2} + {5}^{2} } \\ x= \sqrt{144 + 25} \\ x = \sqrt{169} = 13 \\ \\ y + 5 = \sqrt{ {20}^{2} - {12}^{2} } \\ y + 5 = \sqrt{400 - 144} \\ y + 5 = \sqrt{256} \\ y + 5 = 16 \\ y = 16 - 5 \\ y = 11[/tex]
x = √12² + 5²
= √(12(12) + (5(5)
= √144 + 25
= √169
= √13²
= 13
y = √20² - 12² - 5
= √(20(20) - (12(12) - 5
= √(400 - 144) - 5
= √(256) - 5
= √16² - 5
= 16 - 5
= 11