Question

Does anyone have an answer to this question?

Answer 1

8.9 cm to 1 dec. place.

Explanation:

First, use Pythagoras to find the length of BD.

BD^2 = 6^2 + 7^2 = 85

BD = √85.

BM = √85 / 2.

Consider the triangle TBM, by Pythagoras:

TB^2 = BM^2 + MT^2

MT^2 = 10^2 - (√85 / 2 )^2

= 100 - 21.25

= 78.75.

MT = 8.874