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One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round

Sagot :

Semsee45idn

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = 16 cm
  • b = 2 cm

Substitute the given values into the formula and solve for c:

[tex]\implies 16^2+2^2=c^2[/tex]

[tex]\implies 256+4=c^2[/tex]

[tex]\implies c^2=260[/tex]

[tex]\implies c=\sqrt{260}[/tex]

[tex]\implies c=2\sqrt{65}[/tex]

[tex]\implies c=16.1 \sf \: cm\:(nearest\:tenth)[/tex]

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