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Finding Missing Lengths in Geometry

A Grade 11 math worksheet focusing on finding missing lengths in various geometric figures using theorems and properties.

Grade 11 Math GeometryFinding Missing Lengths
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.B.5CCSS.MATH.CONTENT.HSG.SRT.C.8CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

geometrymissing lengthsPythagorean theoremsimilar trianglestrigonometrydistance formula
7 sections · Free to use · Printable
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Finding Missing Lengths in Geometry

Name:

Date:

Score:

Read each question carefully and solve for the missing length(s). Show all your work. Use appropriate units for your answers.

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

8 cm15 cmc

2. Two triangles are similar. The first triangle has sides of length 6, 8, and 10. If the shortest side of the second triangle is 9, the longest side of the second triangle is  .

3. In a right-angled triangle, if the opposite side is 12 and the adjacent side is 5, what is the length of the hypotenuse?

a

13

b

17

c

7

d

10

4. The distance between the points (1, 2) and (4, 6) is 5 units.

T

True

F

False

5. A rectangle has an area of 48 square inches. If its width is 6 inches, what is its length?

Length = ?Width = 6 in

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