Given:
The base is a rectangle of dimension 7 cm×6 cm.
The length of each diagonal side = 10 cm
To find the height of MT.
Formula
By Pythagoras theorem we get,

where, h be the hypotenuse
b be the base and
l be the height.
Now, in this diagram,
The perpendicular distance of M from BC = 3 cm
Slant height = 10 cm
Taking, b = 3 and h = 10 we get,

or, 
or, 
or, 
Hence,
The height of MT is 9.5 cm.
The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.
<h3>How to solve inequality?</h3>
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:
3r ≤ 4r - 6
subtract 4r from both sides of the inequality,
3r ≤ 4r - 6
3r - 4r ≤ 4r - 4r - 6
3r - 4r ≤ - 6
- r ≤ -6
divide both sides of the inequality by -1
Therefore, the solution is r ≥ 6
learn more on inequality here: brainly.com/question/11784045
#SPJ1