Tag Archives: altitude

Right Triangle

Posted on October 22, 2015 by mvtrinh

Triangle is right-angled at . is an altitude of the triangle. and . What is the value of ? Source: NCTM Mathematics Teacher, December 2005 SOLUTION Theorem: If the altitude is drawn to the hypotenuse of a right triangle, then … Continue reading →

Posted in Problem solving | Tagged altitude, geometry, grade 6, grade 8, NCTM Mathematics Teacher, proportions, Pythagorean theorem, quadratic equation, right triangle, similar triangles | Leave a comment

Altitude

Posted on September 18, 2015 by mvtrinh

In triangle , and . If is a point on such that is perpendicular to , what is ? Source: NCTM Mathematics Teacher, November 2006 SOLUTION Area of triangle by Heron’s formula Area of triangle Area of triangle using base … Continue reading →

Posted in Problem solving | Tagged altitude, area, geometry, grade 6, grade 8, Heron's area formula, Law of cosines, NCTM Mathematics Teacher, Pythagorean theorem, triangle | Leave a comment

Three Tangent Circles

Posted on January 23, 2012 by mvtrinh

Three mutually tangent circles of radius one are surrounded by a larger circle that is simultaneously tangent to all three. What is the radius of the larger circle? Source: http://www.mathcircles.org SOLUTION The centers of the three mutually tangent circles form … Continue reading →

Posted in Problem solving | Tagged altitude, angle bisector, circle, equilateral triangle, geometry, grade 8, median, ratio, tangent | Leave a comment

Tag Archives: altitude

Right Triangle

Altitude

Three Tangent Circles

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