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Solve the value of x in the given
radical equation. Write the
corresponding letter to the
obtained value in the box
provided.
QUESTION: Name that German Mathematician
who introduced the signs “
”, for the second, third
and fourth roots.
QUESTION: Name that
German Mathematician who
introduced the signs “
”,
for the second, third and
fourth roots.
ANSWER:
CHRISTOFF RUDOLFF
At the end of 60 minutes lesson, the
learners able to:
 use the concepts and steps in solving
word problems involving radicals
 solve worded problems involving radicals
 shows cooperation in solving worded
problems involving radicals
Some of the important
applications of radicals are
problems
involving
Pythagorean Theorem and
the distance formula?
Did you
know that?
𝟐
𝟐
𝒂 + 𝒃 = 𝒄
𝟐
(In a right angled triangle: The square of the
hypotenuse is equal to the square of the sum of two
sides)
Gisselle run 6 meters to the
west, and then walks 8 meters
northward. How far is Giselle
from starting point?
Maria bikes 6 kilometers to the
east going to school then walks
10 kilometers northward going to
the park. How far is she from the
starting point which is her
house?
A 8-foot ladder is placed against
the wall of a building. The ladder
touches the building 7 feet from
its base. How far is the foot of the
ladder from the building?
TEAM EUCLID
Ramon jog 6 km
westward from the
church and then turn
rights on a corner and
reaches a park 7 km
away from the said
corner street. How far is
Ramon
from his
house?
TEAM ARCHIMEDES
Eza jog 8 meters to
the west, and then
walks
8
meters
northward. How far is
Eza from starting
point?
TEAM PYTHAGORAS
A car and a bus left
the terminal at the
same time. After
several minutes, the
car is 8 miles due
north of the terminal
while the bus is 9
miles due east of the
terminal. How far apart
are they at that time?
Direction: Choose the letter of the correct answer in each
question. Write it in a ¼ sheet of paper.
1. Hannah is a famous sculptor, hand she wants to build an
installation in the shape of right triangle. She wants the
hypotenuse to be 17 meters and one leg to be 8 meters. What
will be the length of the other leg?
a. 15 meters
ab. 16 meters
c. 18 meters
d. 20 metes
2. Find the length of the hypotenuse of a right triangle whose legs
are 5 cm and 12 cm.
a. 13 cm
b. 15 cm
c. 16 cm
d. 17 cm
3. Sanya leaves school to go home. He walks 6 blocks
North and then 8 blocks west. How far is Sanya from
the school?
a.10
b. 12
c. 13
d. 15
4. A feet ladder is placed 5 feet away from a wall. The
distance from the ground straight up to the top of the
wall is 13 feet. Will ladder reach the top of the wall?
a.12 feet b. 13 feet c. 14 feet d. 16 feet
5. The diagram below shows the roof of a house.
Suppose you need to replace a beam that connects the
two sides of the roof. How long should be beam
a. 35.35 feet
b. 36 feet
c. 38 feet
d. 39 feet