Topics
9. Modeling in Two and Three dimensions
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United States of America
Grades 9-12

9.01 Area and perimeter

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Find the area of the triangle shown.

Drawing of a triangle. A dashed line runs from the top vertex to the side at the bottom and a small square at where the dashed line and the bottom side meet, indicates a right angle. The dashed line is labeled 6cm. The bottom side is labeled 7cm. Two arrows point away from the bottom label to each side indicating that the label is for the entire bottom side and not the section where the dashed line meets.
Area $=$= $\frac{1}{2}$12​ $\times$× base $\times$× height cm2 (Formula for area of triangle)
Area $=$= $\frac{1}{2}$12​ $\times$× $\editable{}\cdot\editable{}$· cm2 (Fill in the values for the base and height)
Area $=$= $\editable{}$ cm2 (Perform the multiplication to find the area)
Easy
< 1min

Find the area of the triangle shown.

Easy
< 1min

Find the area of the triangle shown.

Easy
< 1min

A gutter running along the roof of a house has a cross-section in the shape of a triangle. If the area of the cross-section is $40$40 cm2, and the length of the base of the gutter is $10$10 cm, find the perpendicular height $h$h of the gutter.

Easy
1min
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Outcomes

G.GMD.A.1

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

G.MG.A.1

Use geometric shapes, their measures, and their properties to describe objects.

G.MG.A.2

Apply concepts of density based on area and volume in modeling situations.

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