Question

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

Answer 1

Answer:

26 units

Step-by-step 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:

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

$\sf \implies c^2=676$

$\sf \implies c=\pm\sqrt{676}$

$\sf \implies c=\pm26$

Since length is positive, c = 26 only

Answer 2

Answer:

26 units

Step-by-step 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.