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Elena L [17]
2 years ago
6

What is the length of the hypotenuse of the triangle?

Mathematics
2 answers:
kari74 [83]2 years ago
4 0

Answer:

The last answer \sqrt{65}

Step-by-step explanation:

7^2+4^2 = 65

The formula to find it is a^2+b^2=c^2

so \sqrt{65} is correct

Morgarella [4.7K]2 years ago
4 0

Answer:

  • √65 ft (Option D)

⠀

Step-by-step explanation:

  • This is Right Angled Triangle.

⠀

We'll solve this using the Pythagorean Theorem.

⠀

  • AC = 7ft which is the Base.

  • BC = 4 ft which is the Perpendicular.

  • AB is the Hypotenuse.

⠀

We know that,

{ \longrightarrow \pmb{\qquad \: (AB) {}^{2}  = (AC) {}^{2}  +  ( BC) {}^{2}}}

⠀

{ \longrightarrow \sf{\qquad \: (AB) {}^{2}  = (7) {}^{2}  +  ( 4) {}^{2}}}

⠀

{ \longrightarrow \sf{\qquad \: (AB) {}^{2}  = 49  +  16}}

⠀

{ \longrightarrow \sf{\qquad \: (AB) {}^{2}  = 65}}

⠀

{ \longrightarrow \sf {\pmb {\qquad \: AB}}} =    \pmb{ \frak{\sqrt{65}}}

⠀

Therefore,

  • The length of the Hypotenuse (AB) is √65 ft
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