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1 Peter 4:8. "Don’t let loyalty and faithfulness leave you. Bind them on your neck; write them on the tablet of your heart. Then you will find favor and approval in the eyes of God and humanity ...
It truly feels like 2023 is the year of all the weddings. So many, in fact, that you might start to forget the details of 1) which wedding is when and where, 2) what you planned to wear, and 3 ...
In an acute triangle, the sum of the circumradius R and the inradius r is less than half the sum of the shortest sides a and b: [4]: p.105, #2690. while the reverse inequality holds for an obtuse triangle. For an acute triangle with medians ma , mb , and mc and circumradius R, we have [4]: p.26, #954.
From short, touching texts to handwritten notes, sending love messages can take many forms. These heartfelt ideas are sure to make your S.O. smile or blush.
Obtuse case. Figure 7b cuts a hexagon in two different ways into smaller pieces, yielding a proof of the law of cosines in the case that the angle γ is obtuse. We have in pink, the areas a 2, b 2, and −2ab cos γ on the left and c 2 on the right; in blue, the triangle ABC twice, on the left, as well as on the right.
In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite the apex. This (finite) edge and (infinite) line extension are called, respectively, the base and extended base of the altitude. The point at the intersection of the extended base and the ...
A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1⁄4 turn or 90 degrees). The side opposite to the right angle is called the hypotenuse (side in the figure). The sides adjacent to the right angle are called ...
convex, cyclic. Dual polygon. Self-dual. In geometry, an isosceles triangle (/ aɪˈsɒsəliːz /) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a ...