[tex] \large\sf\purple{answer}[/tex]
1. x = 17cm
2. x = 17.86cm
3. x = 12.1cm
4. x = 6.3cm
5. x = 12cm
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[tex] \large\sf\purple{solution}[/tex]
1.
[tex]x = \sqrt{15 ^{2} + {8}^{2} } [/tex]
[tex]x = \sqrt{289} [/tex]
[tex]x = 17cm[/tex]
2.
[tex] {x}^{2} + {9}^{2 } = {20}^{2} [/tex]
[tex] {x}^{2} = 400 - 81[/tex]
[tex]x = 17.86cm[/tex]
3.
[tex]10.2 ^{2} + 6.5 ^{2} = {x}^{2} [/tex]
[tex]x = \sqrt{ {10.2}^{2} + {6.5}^{2} } [/tex]
[tex]x = \sqrt{146.29} [/tex]
[tex]x = 12.1cm[/tex]
4.
[tex] {x}^{2} + {8.4}^{2} = {10.5}^{2} [/tex]
[tex] {x}^{2} = {10.5}^{2} - {8.4}^{2} [/tex]
[tex]x = \sqrt{39.69} [/tex]
[tex]x = 6.3cm[/tex]
5.
[tex] {x}^{2} = {13}^{2} - {5}^{2} [/tex]
[tex] {x}^{2} = 169 - 25[/tex]
[tex]x = \sqrt{144} [/tex]
[tex]x = 12cm[/tex]
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