Home / Expert Answers / Geometry / construct-an-equilateral-triangle-and-one-of-its-altitudes-to-obtain-two-congruent-triangles-and-pa571

(Solved): Construct an equilateral triangle and one of its altitudes to obtain two congruent triangles, and ...



Construct an equilateral triangle and one of its altitudes to obtain two congruent? triangles, and answer parts a and b. ABCH Question content area bottom Part 1 a. Why are the two triangles? congruent? Choose the best response. A. They are congruent by the? side, side,? side, (SSS) criteria. The side BH is congruent to itself. The side BCcongruent?AB because the triangle is equilateral and AHcongruent?CH because the altitude of an equilateral triangle bisects its base. B. They are congruent by the? side, side, angle? (SSA) criteria. The side BH is congruent to itself. The side BCcongruent?AB because the triangle is equilateral. Lastly the nonincluded angles angle?BAHcongruent?angle?BCH because the angles of an equilateral triangle are all the same. C. They are congruent by the? angle, angle, angle? (AAA) criteria. The angle?BAHcongruent?angle?BCH because the angles of an equilateral triangle are all the same. The angle?ABHcongruent?angle?CBH because the altitude of an equilateral triangle bisects the angle opposite the base and angle?AHBcongruent?angle?CHB because the altitude of an equilateral triangle is perpendicular to the base. Part 2 b. What can you conclude about the length of the leg opposite the 30degrees° angle in a right triangle ?(AH?) in relation to its hypotenuse ?(AB?)? A. ABequals=2times•AH B. ABequals=StartRoot 2 EndRoot2times•AH C. ABequals=BH D. ABABequals=2StartRoot AH EndRoot



We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe