1003021701 Level: AInterior angles of a triangle ABC are in the ratio α:β:γ=2:4:6. Calculate the measures of these angles.α=30∘; β=60∘; γ=90∘α=20∘; β=40∘; γ=60∘α=15∘; β=30∘; γ=135∘α=90∘; β=60∘; γ=30∘
1003021703 Level: AThe measure of an exterior angle of an isosceles triangle is 84∘. Calculate the measures of all interior angles of the triangle.96∘; 42∘; 42∘84∘; 48∘; 48∘12∘; 84∘; 84∘96∘; 96∘; 12∘
1003021705 Level: ACalculate the measures of interior angles α, β and γ of a triangle if γ=2β and β=3α.α=18∘; β=54∘; γ=108∘α=15∘; β=45∘; γ=90∘α=12∘; β=54∘; γ=111∘α=54∘; β=18∘; γ=108∘
1003021707 Level: AChoose the false statement.All altitudes in a right-angled triangle are perpendicular to one another.The centroid of a triangle divides each median in the ratio 2:1.The midline of a triangle is parallel to the third side and half as long.The medians of a triangle intersect in a single point, the centroid of a triangle.
1003021710 Level: AIn a right-angled triangle ABC with a right angle at the vertex A the measure of the angle ABC is 50∘. Give the measure of the angle BCA.40∘90∘30∘180∘
1003021711 Level: AWhat is the measure of all interior angles in an equilateral triangle?60∘30∘90∘45∘
1003076801 Level: AABC is a triangle with sides a, b, c. Let a≤b≤c. Two of its interior angles have measures of 70∘ and 50∘. Which of the following statements about the triangle ABC is true?The third interior angle is opposite the side b.The angle of the measure 70∘ lies opposite the side a.The angle of the measure 50∘ lies opposite the side b.The third interior angle is opposite the side c.
1003076802 Level: AIf the orthocenter of a triangle lies outside the triangle, then it is an/a:obtuse triangleright-angled triangleacute triangleequilateral triangle
1003076803 Level: AChoose the false statement:There exists a right-angled equilateral triangle.There exists an acute isosceles triangle.There exists an acute equilateral triangle.There exists an obtuse isosceles triangle.
1003076804 Level: AThe measures of two interior angles of a triangle are 31∘20′ and 25∘. What is the measure of the third interior angle?123∘40′56∘20′5∘40′124∘40′