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Answer:
the answer is 160 that the answer
You can know a perfect square trinomial:
i) if the coefficient of a² = 1.
ii) If you divide the middle number coefficient by 2 and you square it you get the last term.
Take for example the first option:
For all the options, the coefficient of a² = 1
a² + 4a + 16.
Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.
a² + 14a + 49.
Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²
Similarly if you test the last option.
a² + 26a + 169.
Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²
So the only two options are: a² + 14a + 49 and a² + 26a + 169.
Other options do not pass this test.
Since all triangle's angle's values add up 180 degrees, this means we have to make sure to angles add up to 180.
A. 75 + 35 = 110. 180 - 110 = 70 degrees.
B. This triangle is isosceles meaning 2 of its sides is the same length. In this case, the two sides add up to 140 (meaning they are both 70 degrees). 180 - 140 = 40 degrees.
C. I sadly don't know how to solve it.
D. This is another isosceles triangle. 180 - 36 = 144.
