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10 votes
Find the length of the third side. If necessary, round to the nearest tenth. 10 24

User Julius F
by
8.2k points

2 Answers

13 votes

Answer:

26 units

Explanation:

To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.

Formula: h² = x² + y² [h = hypotenuse, x and y = legs]

Legs: 10 units and 24 units (Stated in comments)

Finding the third side of the triangle (h):

⇒ h² = 10² + 24²

Simplify the LHS:

⇒ h² = 100 + 576

⇒ h² = 676

Take a square root both sides:

⇒ √h² = √676

⇒ h = ±26

⇒ h = 26 (Side lengths can never be negative)

Thus, the length of the third side is 26 units.

User Anit Kumar
by
8.5k points
8 votes

Answer:

26 units

Explanation:

Pythagoras' Theorem:
\sf a^2+b^2=c^2

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

Given

  • a = 10
  • b = 24

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


\sf \implies 10^2+24^2=c^2


\sf \implies c^2=676


\sf \implies c=\pm√(676)


\sf \implies c=\pm26

Since length is positive, c = 26 only

User FChiri
by
7.8k points

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