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12. find the height of the triangle. area = 42 cm² 12 cm □ cm grade 6: …

Question

  1. find the height of the triangle.

area = 42 cm²
12 cm
□ cm
grade 6: mrl cc>chapter 7>practice test> question #5

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by $A = \frac{1}{2} \times b \times h$, where $A$ is area, $b$ is base, $h$ is height.

Step2: Substitute known values

Substitute $A=42$, $b=12$ into the formula:
$42 = \frac{1}{2} \times 12 \times h$

Step3: Simplify and solve for $h$

First calculate $\frac{1}{2} \times 12 = 6$, so:
$42 = 6h$
Then solve for $h$: $h = \frac{42}{6}$

Answer:

7 cm