I really need help if I fail this test I fail my grade so please help!!?

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2 Answers
Apr 23, 2018

TH=3TH=3

Explanation:

It's on Yahoo Answers:

GA GA is the diameter of the circle TT.

ThereforeTA, TB, TD, TF, TGTA,TB,TD,TF,TG are all radii of this circle and have a length of 5cm5cm as given in the question.

It is also given that TDTD (radius) is perpendicular to BFBF (chord). This automatically means that BFBF is bisected since it is perpendicular to the radius.

So as a result, BH = FH = 1/2 xx BF = 4BH=FH=12×BF=4.

Also, since TDTD is perpendicular to BFBF, that means we can look at triangle THBTHB, where angle THB = 90°.

Apply Pythagorean theorem:

(BH)^2 + (TH)^2 = (TB)^2

4^2 + (TH)^2 = 5^2

(TH)^2 = 25-16=9

TH = sqrt9=3

You can solve for TH, or recognize this is a 3-4-5 triangle.

TH = 3

Apr 23, 2018

TH=3
TL=7.9

Explanation:

Where your question read 'BE' I think that should be 'BF'

TA=5 and is a radius, TB =5 as it too is a radius.

When a line from the centre meets a chord at 90°, it bisects the chord. So when TH meets BF it bisects it making BH=4

TBH is a right angled triangle where the hypotenuse is 5, one side is 4 so use Pythagoras to find the missing side TH

5^2-4^2=TH^2
25-16=TH^2
TH=sqrt9 =3

On the second question, TL is a radius and ML is a tangent so they meet at 90°.

So TML is a right angled triangle so again use Pythagoras;

12^2-9^2=TL^2
144-81=TL^2
TL=sqrt63
TL=7.937253933