Area of Obtuse Triangles With Outside Heights
Written by Adi Ackerman, Head Teacher
"Area of Obtuse Triangles With Outside Heights" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.B.6. A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.
7th grade math worksheet: find the area of obtuse triangles whose dashed height falls outside, with decimal and mixed number sides. Answer key included. Part of our area of triangles and quadrilaterals geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the sheets on acute and right triangles, then move to obtuse triangles and trapezoids. Use the mixed sheets as review and the answer keys for quick checking.
What students will practice
- Students will recognize that the height of an obtuse triangle can fall outside the triangle.
- Students will find area from a base and an outside height with decimals and mixed numbers.
- Students will write fractional answers in simplest form with square units.
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Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference
Curriculum Links
Common Core State Standards
Geometry · 7th Grade
Standard: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
View all 7.G.B.6 worksheets →Find this in the curriculum
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FAQ
How do I use this area of triangles and quadrilaterals worksheet?
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Start with the sheets on acute and right triangles, then move to obtuse triangles and trapezoids. Use the mixed sheets as review and the answer keys for quick checking.
What does this worksheet teach?
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Find the area of obtuse triangles whose dashed height falls outside, with decimal and mixed number sides. The directions on the page read: The dashed height is outside each triangle. Multiply the base by the height, then divide by 2. Show your work in the box. Write fractions in simplest form. Include units. An answer key is included.
Can I use this area of triangles and quadrilaterals worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you find the area of a triangle?
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Multiply the base by the height, then divide by 2. The height meets the base at a right angle, and in an obtuse triangle it can fall outside the triangle.
How do you find the area of a trapezoid?
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Add the two parallel bases, multiply by the height and divide by 2. The Trapezoid Area With Decimal Measures worksheet practices this with decimal lengths.
How do you find a missing base or height?
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Write an equation from the area formula, put in the known measures and solve. The Missing Height of Acute Triangles worksheet gives the area and base and asks for h.
Do these worksheets have answer keys?
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Yes. All 20 worksheets in this group have answer keys.
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Circumference From Radius or Diameter
Circumference in Terms of Pi and Word Problems
Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference