Question

Which triangle can be drawn as it is described?

Answer 1

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

$5+10> 15$ -----> 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

$4+2> 7$ -----> is not true

therefore

with these measurements can not draw any triangle