Construct an isosceles triangle in which the length of each equal side is 5.5cm and the angle between them is 45 degrees. Measure the base angles.
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Step-by-step explanation:
Length of equal sides is 5.5cm
Angles between the two equal sides is 45°
Let the base angles be A and B
And third angle be C
In an isosceles triangle, we know that base angles are equal, hence A = B
We know that
Sum of all angle sof triangle is 180°
A + B + C = 180
2A + 45 = 180
2A = 180 - 45
2A = 135
A = 135/2 = 67.5 = B
Hence, base angles are of measure 67.5°
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