Question

1. what theorem can be used to find a missing length in a right triangle?

base angle theorem
pythagorean theorem
midsegment theorem
triangle proportionality theorem

Explanation:

The question asks for the theorem to find a missing length in a right triangle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides ($a^2 + b^2 = c^2$), which directly applies to finding missing lengths. The other theorems focus on angles (base angle theorem), midsegments (midsegment theorem), or proportional segments (triangle proportionality theorem), not missing side lengths of right triangles.

Answer:

Pythagorean theorem