This document contains geometry problems involving finding lengths of line segments, using the Pythagorean theorem, and solving problems involving right triangles and angles of depression/elevation. It includes 10 problems identifying specific line segments, 5 problems applying the Pythagorean theorem, and 5 word problems involving right triangles, angles of depression/elevation, and using trigonometric functions to calculate heights or distances.

2. I. REFER TO THE FIGURES.
FIND THE LENGTH OF THE
SPECIFIED SEGMENT.
2 POINTS EACH.

3. 1.a
2.b
3.c

4. 4. r
5. s
6. t
7. u

5. 8. x
9. y
10. z

6. II. USE THE PYTHAGOREAN
THEOREM TO SOLVE THE
FOLLOWING.

7. 1. a = 3, b = 4, c = ____
2. a = ___ , b = 24, c = 25
3. a = 14, b = ___, c = 17
4. a = 12, b = 5, c = ____
5. a = ___ , b = 8, c = 10

8. II. ILLUSTRATE AND SOLVE THE
FOLLOWING PROBLEM.

9. 1. The hypotenuse of an
isosceles right triangle is
6 𝟐𝒅𝒎. Solve for its
perimeter.

10. 2. A flag pole was broken down
at a certain point. The broken
flag pole formed 30° downward
such that the distance of the top
of the fallen pole to its base is 12
m. Find the height of the pole is
still standing.

11. 3. Find the height of a hot air
balloon which is directly
above the nipa hut if the
angle of depression of
carabao, 62 m away from the
nipa hut, is 30°.

12. 4. A boat is 450m away from a
lighthouse. If the angle of
depression of the boat from
the top of the lighthouse is
60°, find the height of the
lighthouse.

13. 5. A school is 800m from the
base of a cellphone tower. If the
angle of elevation of the top of
the tower is 60° from the school,
what is the distance between
the school and the top of the
tower.