You have to sit calmly and quietly and look over this one for a few minutes,
until you see what's going on.
When the top triangle got flopped over to make the bottom one,
the 12-cm side on top made another 12-cm side on the bottom.
Also, the short 6-cm piece made another 6-cm piece hooked onto it,
and when those are put together, they make 12-cm all together.
So now, look at the whole outside triangle that you have, after the two
inside ones are put together. The top slanty side is 12-cm, the bottom
slanty side is 12-cm, and the straight up-and-down side is also 12-cm.
The new big triangle is an equilateral triangle !
What do you know about an equilateral triangle ?
-- All three sides are the same length.
-- All three angles are the same size.
If all three angles are the same size, how big is each one ?
Hint: The three angles of <em>every</em> triangle add up to 180 degrees.
So angle-y must be 1/3 of 180 = 60 degrees.
We just substitute in -12 for x in each one and see if it's true
2(-12)+6 = -24 + 6 = -18, not 30, NOPE
-0.25(-12) - 1 = 3-1 = 2, that worked, CHECK ME
-12 - 8 = -20, CHECK ME
-35(-12) +2 = 422, not -515, NOPE
3(-12+25)=3(13)=39, CHECK ME
Answer:
Step-by-step explanation:
a² + b² = c²
3.6² + b² = 7.4²
b² = 7.4² - 3.6² = 41.8
b = √41.8
