keigleyhannah30
12.12.2020 •
Mathematics
Analyze the diagram below and complete the instructions that follow.
Find BC. Round the answer to the nearest tenth.
A.
1.5
B.
1.6
C.
1.8
D.
1.9
Solved
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Ответ:
Step-by-step explanation:
An isosceles triangle is a triangle that has two of its sides and angles to be equal.
Given triangle ABC with <A = 40
Note that the sum of angle in a triangle is 180
<A + <B + <C =180
Since the base angle are the same, hence <B = <C
<A+<B +<B = 180
40+2<B = 180
2<B = 140
<B = 140/2
<B = 70
Since <B = <C, hence <C = 70
If triangle ABC is right angled triangle, this means that one of the angle is 90.
Since <A = 40 and one of the other two angle is 90, the third angle will be:
<A+<B<C = 180
40+90+<C = 180
130+<C = 180
<C = 180 - 130
<C = 50
Hence the possible measure of other angles will be 90° and 50°