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A right triangle has a hypotenuse of 12 cm. Find the lengths of the legs A and B so that the area of the triangle will be a maximum. Find the area. Round the answers to the nearest hundredth. A =1/2 AB and A^2 + B^2 = 12^2 ; Feb 04, 2019 · Area of a triangle can simply be evaluated using following formula.

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SAS Triangle Theorem and DE ≅ EF by CPCTC. 2. Possible answer: Since M bisects BD, x + 3 = 2x − 7. Solving for x, x = 10. Substituting the value of x into the expressions gives BD = 26 and AC = 26. Since AD = AD and ∠BDA ≅ ∠CAD, the triangles are congruent by the SAS Triangle Theorem. So, by CPCTC, ∠B ≅ ∠C. 3.

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And so we have to figure out the measure of angle ABE. So we have a bunch of congruent segments here. And in particular, we see that triangle ABD, all of its sides are equal. So it's an equilateral triangle, which means all of the angles are equal. And if all of the angles are equal in a triangle, they all have to be 60 degrees.

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(1) Find the area of an equilateral triangle if each side is 8. (2) (3) Find the length of the arc of a sector of 54 ° in a circle if the radius is 10. Find the area of the sector. (4) The apothem of a regular hexagon is 10 3 . Find the length of each side of the hexagon. Find the area of the hexagon.

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001_010_CRM01_881055 1/10/08 8:23 AM Page 2 epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:Course 2:Chapter 01: Chapter 1 3 Course 2 Word Problem Practice

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angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.