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Sagot :
Answer:
The last answer [tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]7^2+4^2 = 65[/tex]
The formula to find it is [tex]a^2+b^2=c^2[/tex]
so [tex]\sqrt{65}[/tex] is correct
Answer:
- √65 ft (Option D)
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Step-by-step explanation:
- This is Right Angled Triangle.
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We'll solve this using the Pythagorean Theorem.
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- AC = 7ft which is the Base.
- BC = 4 ft which is the Perpendicular.
- AB is the Hypotenuse.
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We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]
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[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]
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[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]
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[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]
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[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]
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Therefore,
- The length of the Hypotenuse (AB) is √65 ft
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