Chapter 12: Q15. (page 801)

Write an expression that describes the area in square units of a triangle with a height of $4 c^{3} d^{2}$ and a base of $3 c d^{4}$ .

Short Answer

Expert verified

The area of a triangle is $6 c^{4} d^{6}$ square units.

Step by step solution

Step 1. The formula for the area of a triangle.

An area of a triangle is given by

$A = \frac{1}{2} \cdot b a s e \cdot h e i g h t = \frac{1}{2} \cdot b \cdot h$

Step 2. Substitution.

Substitute $4 c^{3} d^{2}$ for $h$ and $3 c d^{4}$ for $b$ into $A = \frac{1}{2} \cdot b \cdot h$ .

$A = \frac{1}{2} \cdot (3 c d^{4}) \cdot (4 c^{3} d^{2})$

Step 3. Simplify.

Simplify the above-obtained equation.

$A = \frac{1}{2} \cdot 12 c^{4} d^{6} = 6 c^{4} d^{6}$

Therefore, the area of a triangle $6 c^{4} d^{6}$ is square units.

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Write an expression that describes the area in square units of a triangle with a height of $4 c^{3} d^{2}$ and a base of $3 c d^{4}$ .

Short Answer

Step by step solution

Step 1. The formula for the area of a triangle.

Step 2. Substitution.

Step 3. Simplify.

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Write an expression that describes the area in square units of a triangle with a height of4c3d2 and a base of 3cd4.

Short Answer

Step by step solution

Step 1. The formula for the area of a triangle.

Step 2. Substitution.

Step 3. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Write an expression that describes the area in square units of a triangle with a height of $4 c^{3} d^{2}$ and a base of $3 c d^{4}$ .