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A right triangle has legs with lengths of 10 and 24 inches. If the midpoints of all three sides of this triangle were connected, the resulting right triangle would have a hypotenuse with a length of?



(1) 5 inches

(2) 8 inches

(3) 12 inches

(4) 13 inches

Respuesta :

(3) 12 inches
Hope this helps
adioabiola

The resulting right triangle would have a hypothenuse with a length of; 13 inches.

According to the question;

  • We are required to length of the resulting right triangle when the midpoint of all three sides of this triangle were connected.

The two legs given have lengths; 10 and 24 inches.

When the midpoints are connected, the new right triangle would then have legs; 5 and 12 inches.

Therefore, from Pythagoras theorem;

Hypothenuse length,

  • l = √(12² + 5²)

  • l = √169

l = 13 inches.

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