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svet-max [94.6K]
3 years ago
15

I need help on 2 questions !

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0
4. Yes, line L is parallel to M because they do not intersect, the angles do not matter.

5.

A. 2 and 3 would be Alt. Int. Angles.

B. 2 and 4 are congruent angles.
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Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
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Answer:

Option b.

Step-by-step explanation:

Given : \Delta SRQ is right angled triangle . An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of S R is x.

In the figure, \angle SRQ=90^{\circ} and RT is perpendicular to SQ.

We know that in a right angled triangle if a perpendicular is drawn from the vertex of the right angle to the hypotenuse then triangles on both sides of the perpendicular are similar to each other and to the whole triangle .

Therefore , \Delta STR\sim \Delta SRQ

Also, we know that if two triangles are similar then their sides are proportional .

\frac{ST}{SR}=\frac{SR}{SQ}\\\frac{9}{x}=\frac{x}{25}\\x^2=25\times 9\\x=5\times 3\\=15

So, option b. is correct

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