Finding Missing Lengths in Geometry

A Grade 10 math worksheet focusing on finding missing lengths using geometric theorems like the Pythagorean theorem, similar triangles, and trigonometric ratios.

Grade 10 Math GeometryFinding Missing Lengths

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Includes

3 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.B.5CCSS.MATH.CONTENT.HSG.SRT.C.8

7 sections · Free to use · Printable

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Finding Missing Lengths in Geometry

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Read each question carefully and solve for the missing lengths. Show all your work for full credit. Round your answers to two decimal places where necessary.

1. Find the length of the hypotenuse (c) in a right-angled triangle with legs a = 8 cm and b = 15 cm.

2. Triangle ABC is similar to Triangle DEF. If AB = 6, BC = 9, AC = 12, and DE = 4, find the lengths of EF and DF.

3. In a right-angled triangle, if the angle is 30 degrees and the opposite side is 5 cm, the hypotenuse is approximately cm. (Hint: Use sine)

4. The sum of the squares of the two shorter sides of a right-angled triangle equals the square of the longest side.

True

False

5. If two triangles are similar, their corresponding angles are proportional.

True

False

6. A ladder 10 meters long is leaning against a wall. The base of the ladder is 6 meters from the wall. How high up the wall does the ladder reach?