(Age 6-8 Years)
(Age 8-10 Years)
(Age 11+ Years)
Answer the below-given Math Questions.
To unlock a special gift at the end!!
What is the Pythagorean Theorem?
The Pythagorean Theorem is a fundamental formula in geometry that relates the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In other words, if a, b, and c are the lengths of the sides of a right triangle, where c is the hypotenuse, then the Pythagorean Theorem can be expressed as:
a^2 + b^2 = c^2
The Pythagorean Theorem has been known for thousands of years and has been used in various fields, including mathematics, science, and engineering. It is a powerful tool for solving problems involving right triangles and calculating distances.
What will this quiz test me on?
This quiz will test your understanding of the following topics:
1. What is the Pythagorean Theorem?
2. How to apply the Pythagorean Theorem to solve problems involving right triangles?
3. How to recognize right triangles?
4. How to calculate the length of a side of a right triangle using the Pythagorean Theorem?
We hope you enjoy the quiz!
Good luck! But before that let’s read a fun story.
In the heart of the ancient city of Geometria, nestled amidst towering skyscrapers and sprawling parks, lay a hidden cave, rumored to contain a secret treasure. The cave’s entrance was concealed behind a complex puzzle, a series of riddles and equations that had baffled explorers for centuries.
Among the city’s residents was a young girl named Sophia, fascinated by mathematics and eager to unravel the mysteries of the world. Having heard the tales of the hidden cave and its elusive treasure, Sophia decided to embark on a quest to solve the puzzle and uncover the secrets within.
As Sophia approached the cave’s entrance, she encountered the first riddle: “A triangle stands tall, its two sides known, the hypotenuse unknown. Find its length, oh seeker of knowledge, and the cave’s secrets shall be shown.”
Which of the following sides can form a triangle?
Which of the following is the correct relation between ‘a,’ ‘b,’ and ‘c’ among the options provided?
Which of the following sides can form a right-angled triangle?
A square EFGH is formed by joining the midpoints of the edges of a square ABCD. Determine the area of the shaded region
A square EFGH is formed by joining the midpoints of the edges of a square ABCD. Calculate the ratio of the shaded region’s area to that of the area of a square ABCD.
A square EFGH is formed by joining the midpoints of the edges of a square ABCD. Calculate the ratio of the shaded region’s area to that of the non-shaded region.
A right-angled triangle ADE is inscribed in the square ABCD. The base DE and perpendicular AE of a triangle ADE are 3 units and 4 units, respectively. Determine the area of the shaded region.
Calculate the area of the shaded region in the given figure
Calculate the area of the shaded region in the given figure.
(Notice that all four right-angled triangles have the same base and perpendicular).
Calculate the area of the shaded region in the given figure.
(Notice that all four right-angled triangles have the same base and height).
Undeterred by the challenge, Sophia pulled out her trusty notebook and pen. She remembered her lessons on the Pythagorean Theorem, a fundamental formula in geometry that relates the sides of a right triangle. Recalling the formula, she realized that the key to solving the riddle lay in understanding the relationship between the triangle’s sides.
Carefully analyzing the riddle, Sophia determined that the two known sides of the triangle were 5 and 12. With the Pythagorean Theorem in hand, she calculated the length of the hypotenuse:
hypotenuse^2 = 5^2 + 12^2
hypotenuse^2 = 25 + 144
hypotenuse^2 = 169
hypotenuse = √169
hypotenuse = 13
With the length of the hypotenuse, 13, Sophia had solved the first riddle. The cave’s entrance slowly opened, revealing a dark passageway leading into the depths of the earth.
As Sophia ventured deeper into the cave, she encountered more riddles and equations, each testing her knowledge of geometry and mathematics. With her sharp mind and the Pythagoras Theorem as her guide, she solved each challenge, unlocking hidden doors and revealing secret chambers.
Finally, after hours of navigating the labyrinthine cave, Sophia reached the innermost chamber. In the center of the room, illuminated by a faint glow, lay a magnificent treasure chest. Sophia cautiously approached the chest, her heart pounding with anticipation.
Opening the chest, Sophia gasped in awe. Inside, nestled amidst sparkling jewels and gleaming gold, lay an ancient scroll. As she unrolled the scroll, she discovered a detailed map of the stars, revealing the location of a long-lost constellation.
Sophia had not only uncovered the hidden treasure but had also made a groundbreaking discovery in astronomy. The map on the scroll held the key to unlocking the secrets of the universe.
News of Sophia’s incredible discovery spread throughout Geometria, and she was hailed as a hero. Her quest to solve the riddles of the hidden cave had not only led her to an extraordinary treasure but had also demonstrated the power of mathematics to unlock the mysteries of the world.
