3.3.PS-11
2 answers:
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Answer:
An isosceles triangle with angles measuring 20° and 80°
Step-by-step explanation:
Verify each case
case A) Scalene triangle with angles measuring 110° and 35°
Is not a scalene triangle because the third angle is (180-110°-35°=35°), therefore is an isosceles triangle
case B) An obtuse triangle with sides measuring 5,10 and 15
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
case C) An isosceles triangle with angles measuring 20° and 80°
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem the third angle is (180-20°-80°=80°),
therefore
is an isosceles triangle and can be drawn as it is described
case D) An acute triangle with sides measuring 7,4 and 2
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle