1)
for a valid triangle two sides added together have to always be larger than the third
(otherwise it turns into a line)
12, 18, 6 would not be a valid triangle, because 12+6<=18
but 12, 18, 14 would be valid, because
12+18>14
12+14>18
18+14>12
2)lets start with an obvious right triangle and have the axis along the y and x axis like
so decide some x like -4 and some y like -3 and keep all other coordinates at 0:
A=(-4,0) B=(0,-3) and C=(0,0)
make it a bit more complicated (less 0s) by some x and y translation like (-2,3)
just add that to every point's coordinates and you get
A=(-6,3), B=(-2,0), C=(-2,3)
<u>Explanation</u><u>:</u><u>-</u>
We have given measure of angles of the triangle are in ratio 4 : 7 : 9 and here we need to find the measure of largest angle of a ∆.
Let, the three angles of a triangle be 4x, 7x, 9x.
We know that, Sum of all angles of a triangle is 180°.
4x + 7x + 9x = 180°
⇛20x = 180°
⇛x = 180°:20
⇛x = 9°
Now, finding largest angle by putting the value of “x”
- 4x = 4(9) = 36°
- 7x = 7(9) = 63°
- 9x = 9(9) = 81°
Hence ,the measure of largest angle is 81°.
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Answer:
<em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>c</em>
Step-by-step explanation:
x/42=5/7
x/42=5/7then crisscross
7x=5×42
7x=210....then divide both side by 7
x=30
Hope it'll help!
stay safe:) ^-^
Answer:
The total length of three sides is 62'-1"
Step-by-step explanation:
We know that 1 foot = 12 inches and 1' = 12''
Part 1)
We also know that side 1=15'-7", side 2=20'-4", side 3=26'-2"
To find the total length of three sides sum the three sides
So the total length=side 1+side 2 +side 3
Now we substitute
Total length=15'-7"+20'-4"+26'-2"
Total length=(15'+20'+26')+(7"+4"+2")
Total length=(61')+(13")
Remember that 12"=1'
13"=12"+1"=1'+1"
Substitute again
Total length=(61')+(1'+1")
Total length=(62')+(1")---------> 62'-1"
<u>Therefore the answer is the total length of three sides is 62'-1"</u>
