Question

Find the length on the missing sides.The numbers on the thing are 26 and 24.

Answer 1

10

Step-by-step explanation

Step 1

to find the missing side we can use the Pythagorean theorem

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“,hence

`a^2+b^2=c^2`

then, Let

side1=24

side2, Unknown=x

hypotenuse=26

Now, replace in the formula

`\begin{gathered} a^2+b^2=c^2 \\ 24^2+x^2=26^2 \\ 576+x^2=676 \\ \text{subtract 576 in both sides} \\ 576+x^2-576=676-576 \\ x^2=100 \\ \text{square root in both sides} \\ √(x^2)=√(100) \\ x=10 \end{gathered}`

therefore, the missing side is 10.

I hope this helps you