22 If right triattgle $$ A B C $$ has sides $$ b=7 $$ and $$ c=24 $$, then which of the follarwing is a possible value for the perimeter of triangle $$ A B C $$ ? A) 50 B) 25 C) 56 D) 84

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To determine a possible perimeter for the right triangle $$ \triangle ABC $$ with sides $$ b = 7 $$ and $$ c = 24 $$, we can use the Pythagorean theorem.

Assuming that the right angle is at vertex $$ A $$, sides $$ b $$ and $$ c $$ are the legs of the triangle, and side $$ a $$ (opposite the right angle) is the hypotenuse. Using the Pythagorean theorem:

$$
a^2 = b^2 + c^2
$$
$$
a^2 = 7^2 + 24^2
$$
$$
a^2 = 49 + 576
$$
$$
a^2 = 625
$$
$$
a = \sqrt{625} = 25
$$

Now, the perimeter $$ P $$ of the triangle is the sum of all its sides:

$$
P = a + b + c = 25 + 7 + 24 = 56
$$

Therefore, the possible perimeter of triangle $$ ABC $$ is **56**.

**Answer:** C) 56
The perimeter of triangle $$ ABC $$ is 56. **Answer:** C) 56

22 If right triattgle \( A B C \) has sides \( b=7 \) and \( c=24 \), then which of the follarwing is a possible value for the perimeter of triangle \( A B C \) ? A) 50 B) 25 C) 56 D) 84

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