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Sss sas asa and aas theorems

Hich rule explains why these triangles are congruent? A H G C B F

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Which of the following is not a valid postulate or theorem for proving triangles congruent? A. SSA B. ASA C. AAS D. SAS


A SSA does not prove congruent triangles. In most cases there are 2 possible triangles that can be made

Mar 30, 2017 | The Computers & Internet

1 Answer

Question. a triangle with two sides 1700mm each with a 45 degree angle. what will the length be of the third side?


If 2 angles are 45 degrees, the other must be 90, so Pythagorus' Theorem applies, so it is sqrt ( 1700^2 + 1700^2 ) = 2404.16
or
for triangles, a / sinA = c / sinC so c = ( 1700 / sin (45) ) * sin (90) = 2404.16.

Oct 31, 2016 | The Computers & Internet

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The triangle has 3 congruent angles. does not have a ruler to measure the lengths of the sides. How can she show that the triangle has three congruent sides?


Three congruent angles means it is an equilateral triangle, so by definition it has 3 congruent sides. Or, by the Sine Rule of triangles

a/sinA = b/sinB = c/sinC

and since A = B = C (given) then a = b = c.
.

Apr 08, 2016 | Computers & Internet

1 Answer

Calculate hypotenuse


"Hypotenuse" implies a right angle triangle is wanted here. With Pythagoras' Theorem it is always good to look first for a 3-4-5 pattern, the simplest ratio, although a right angle triangle easily can be other ratios too.

24 x 32 is (3 x 8) x (4 x 8) so it is a 3-4-5 triangle after all, and the hypotenuse is then 5 x 8 = 40

Or, you could calculate SQRT (24^2 + 32^2) = 40

Aug 12, 2014 | Computers & Internet

1 Answer

Calculate hypotenuse


in building terms there is the 3, 4, 5 rule, which allows you to determine a perfect right angle. This is from the Pythagoras theorem which says - the square on the hypotenuse equals the sum of the squares on the other two sides.... so to calculate the hypotenuse we square 3 and 4 to get 9 and 16 respectively. Adding these give 25. Getting the square root of 25 gives 5 which is the dimension of the hypotenuse...
Any combination of 3/4/5 works - so 6/8/10 is also valid.
Hope this helps.

Oct 22, 2013 | Measuring Tools & Sensors

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Triangle MPT is congruent with triangle SAD, MP=15, MT=22 and SD=2x 10 Find x


MPT: MP=15: MT=22
SAD: SA=??: SD=2x10

Insufficient information to solve for X.

Oct 07, 2010 | Mathsoft Solving and Optimization...

2 Answers

What do you mean by conguret triangle?


2 triangles are congruent when they have the same angles but different lengths.

May 31, 2010 | Mathsoft StudyWorks! Mathematics Deluxe...

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