Question

find the missing length of the triangle. 26 cm 10 cm b b = cm

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with hypotenuse $c$ and legs $a$ and $b$, the Pythagorean theorem is $a^{2}+b^{2}=c^{2}$. Here, $c = 26$ cm and $a = 10$ cm, and we want to find $b$. So, $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $c = 26$ and $a = 10$ into the formula: $b^{2}=26^{2}-10^{2}=676 - 100=576$.

Step3: Solve for $b$

Take the square root of both sides. Since $b>0$ (as it represents a length), $b=\sqrt{576}=24$ cm.

Answer:

24