Place Reiaan's rectangular study table with three of its feet at the points (8, 9), (11,9) and (11,7). Class 9

Place Reiaan's rectangular study table with three of its feet at the points (8, 9), (11,9) and (11,7). Class 9

Using the given figure, answer the given questions.

Question 1.

Place Reiaan's rectangular study table with three of its feet at the points (8, 9), (11,9) and (11,7). Class 9

i. Where will the fourth foot of the table be?

ii. Is this a good spot for the table?

iii. What is the width of the table? The length? Can you make out the height of the table?

Solution:

i. Let the three feet of the table be at A (8, 9), B (11, 9) and C (11, 7).

Let the fourth foot of the table be at D.

x coordinate of D = x coordinate of A = 8

y coordinate of D = y coordinate of C = 7

∴ The fourth foot of the table is at D(8, 7).

ii. The study table is not located at the corner but 1 ft away from the walls.

∴ This is not a good spot for the table.

iii. Length of the table = 11 - 8 = 3 ft

Width of the table = 9 - 7 = 2 ft

No. Height cannot be determined from 2-D coordinates.