Complete Table 14.12

MathematicsGeometryEasy

Published:

Copy and complete Table 14.12.

Table 14.12

| | Base | Height | Area ($cm^2$) |

|---|---|---|---|

| (a) | 3 cm | 6 cm | | |

| (b) | 8 cm | | 24 $cm^2$ |

| (c) | | 6 cm | 38 $cm^2$ |

| (d) | | 7 cm | 24 $cm^2$ |

| (e) | 10 m | 5.5 m | | |

This question includes visual content: The image shows a table titled 'Table 14.12' with columns titled 'Base', 'Height', and 'Area (cm^2)'. The table has rows labeled (a) through (e), containing various numerical values and units, with some cells left empty for the student to fill in.

Animated Video Solution

The first half plays free, the full solution is in the app.

Step by Step Written Solution

1
Step 1

Hi Hjrj, let's complete this table for the area of triangles. We need to find the missing values using the base and height given.

Area of a Triangle

2
Step 2

The formula for the area of a triangle is one half times base times height. Let's write that down first.

$$Area = \frac{1}{2} \times b \times h$$
3
Step 3

Looking at row a, we have a base of three centimeters and a height of six centimeters. Let's plug these values into our formula.


Row (a):

$$Area = \frac{1}{2} \times 3 \times 6$$
4
Step 4

One half of six is three, and three times three gives us nine square centimeters.

5
Step 5

For row b, we are given a base of eight centimeters and an area of twenty-four square centimeters. We need to find the height.


Row (b):

$$24 = \frac{1}{2} \times 8 \times h$$
6
Step 6

Half of eight is four, so twenty-four equals four times height. Dividing by four, the height must be six centimeters.

7
Step 7

Now let's look at row c. We have a height of six centimeters and an area of thirty-eight square centimeters.

Row (c) and (d)

$$Area = \frac{1}{2} \times b \times h$$

Row (c):

$$38 = \frac{1}{2} \times b \times 6$$

The rest of this solution is on Solvi

6 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Download on the App Store Get it on Google Play

Free to download · First solutions are on us

100K+Questions solved daily
50K+Students learning
4.8 ★App Store rating

About This Question

Subject
Mathematics
Topic
Geometry
Difficulty
Easy

Solve any question in seconds

Snap a photo and AI explains it step by step with voice and animation.

Download on the App Store Get it on Google Play
Solvi
The full solution is in the appFree to download · First solutions are on us
Get