Q:

first one is brainlyest On a piece of paper, use a protractor to construct a triangle with angle measures of 50° and 70º.What is the measure of the third angle?60°80°100°180°On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 4 inches and one with a side length of 5 inches.Which statement is true about the two triangles?It is impossible to construct equilateral triangles with these side lengths.The two triangles are the same size and same shape.The two triangles are the same size but not the same shape.The two triangles are the same shape but not the same size.On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in. , m∠A=90° , and m∠B=45° .What statement is true about the triangle?BC=3 in.BC=6 in.AC=6 in.AC=3 in.thanks bra

Accepted Solution

A:
Answer:(1) The measure of the third angle is 60°. (2) The two triangles are the same shape but not the same size. (3) AC=3 inches.Step-by-step explanation:(1)According to the angle sum property the sum of interior angles of a triangle is always 180°.Two angles are 50° and 70º, therefore the measure of third angle is[tex]\angle 1+\angle 2+\angle 3=180[/tex][tex]50+70+\angle 3=180[/tex][tex]\angle 3=180-50-70[/tex][tex]\angle 3=60[/tex]Therefore the measure of third angle is 60º. Option 1 is correct.(2)Two triangle are equilateral triangles: one with a side length of 4 inches and one with a side length of 5 inches.All sides of a equilateral triangle are same.Since both are equilateral triangle, therefore all the sides of each triangle are same. But the side length of first triangle is 4 and side length of second triangle is 5.The ratio of their corresponding sides are equal.Therefore the two triangles are the same shape but not the same size. Option 4 is correct.(3)Triangle ABC is a right angle triangle with AB=3 in. , ∠A=90° , and ∠B=45° .Using angle sum property ∠C=45°.Since two angle are same therefore ABC is an isosceles triangle.Angle B and C are same therefore side AC and AB are same.[tex]AC=AB[/tex][tex]AC=3[/tex]Therefore option 4 is correct.