The diagram shows a 7cm x 6cm rectangle-based pyramid

all the diagonal sides - TA, TB, TC, TD are the length 10 cm

M is the midpoint of the rectangular based.

work out the hight MT. give your answer to 1 decimal place
show your working out

MT = 8.9 cm

Step-by-step explanation:

In the rectangle ABCD, Angle ABC = 90 degree

In the triangle ABC, Angle B = 90 degree

=> ABC is the right angle triangle

According to the Pythagoras theorem, we have the following equation:

+)

⇔

⇔

⇔ cm

In the rectangle ABCD, M is the midpoint, so that it is also the midpoint of line segment AC.

=> AM = cm

TM is the height of the pyramid, so that it is perpendicular to the base ABCD.

As AM belongs to the surface of the rectangle ABCD

=> TM is also perpendicular to AM

=> AMT is the right-angled triangle with Angle AMT = 90 degree

According the Pythagoras theorem, we have the following equation:

⇔

⇔

⇔ ≈ 8.9 cm

MT = 8.9 cm

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

i believe the answer is the polygon, heptagon.