Ages 13–14🧮 Mathematics13 verified questions on this shelf

Types of angles (age 13+)

Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts

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Question 1 of 3

A triangle has side lengths 7, 24, and 25 units. Which statement best explains why this triangle is a right triangle?

Question 2 of 3

A ladder 13 feet long rests against a vertical wall. The foot of the ladder is 5 feet away from the wall. How high up the wall does the ladder reach?

Question 3 of 3

In a right‑angled triangle, one leg is $\sqrt{7}$ meters long and the other leg is $3\sqrt{7}$ meters long. What is the length of the hypotenuse?

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What a child can do after this Skill

Calculate the hypotenuse of a right-angled triangle given the two shorter sides
Find a shorter side given the hypotenuse and the other short side
Use Pythagoras’ Theorem to find the distance between two points on a coordinate grid

Curriculum standards this Skill teaches

KS3.Maths.Geo.14 — Pythagoras' Theorem and Trigonometry
CCSS.Math.Content.8.G.6 — Explain a proof of the Pythagorean Theorem and its converse
NCERT.Class8.Math.SquaresAndSquareRoots — Squares, square roots, and Pythagorean triplets
CCSS.Math.Content.8.G.7 — Apply the Pythagorean Theorem to real-world problems
CCSS.Math.Content.8.G.8 — Apply the Pythagorean Theorem to find the distance between two points in a coordinate…
KS3.Maths.Geo.13 — Apply Angle Facts and Pythagoras' Theorem
ICSE.Class8.Math.AlgebraicExpressionsAndIdentities — Algebraic expressions and standard identities
ICSE.Class8.Math.MensurationAreaVolume — Mensuration: area of polygons and volume of solids
NCERT.Class8.Math.UnderstandingQuadrilaterals — Understanding quadrilaterals: properties and angle sum

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.