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We are given a kite $WXYZ$. We are given $m\angle WXY = 120^\circ$, $m\angle WZY = (4x)^\circ$, and ...

KiteQuadrilateralAngle PropertiesAngle SumSolving Equations

We are given a trapezoid $ABCD$. We are given that $m\angle ABC = (4x + 11)^\circ$ and $m\angle DAB ...

TrapezoidIsosceles TrapezoidAngle PropertiesAlgebra

The problem states that $ABCD$ is an isosceles trapezoid. The length of diagonal $AC$ is given by $3...

Isosceles TrapezoidDiagonalsEquation SolvingAlgebra

点A, B, Dが同一水平面上にあり、$\angle CAD = 60^\circ$, $\angle DAB = 75^\circ$, $\angle DBA = 60^\circ$, $AB = ...

三角比正弦定理角度距離高さ直角三角形

The problem asks to classify quadrilaterals as trapezoids, isosceles trapezoids, or kites, based on ...

QuadrilateralsTrapezoidsIsosceles TrapezoidsKitesGeometric PropertiesShape Classification

The problem states that in trapezoid $ABCD$, $PQ$ is the midsegment. Given that $DC = 18$ and $PQ = ...

TrapezoidMidsegmentGeometric Formulas

We are given a trapezoid $HJKT$. $TS$ is the midsegment of the trapezoid. We are given that $HJ = 14...

TrapezoidMidsegmentGeometric Formulas

$\theta$が鈍角であるとき、以下の問題に答えよ。 (1) $\sin \theta = \frac{1}{3}$のとき、$\cos \theta$と$\tan \theta$の値を求めよ。 (2...

三角比三角関数鈍角sincostan相互関係

The given figure is a trapezoid $WXYZ$ with $WX = 7$ and $YZ = 7$. The angle $Z$ is given as $68^{\c...

TrapezoidIsosceles TrapezoidAnglesParallel Lines

三角形ABCの面積を求める問題です。 (1) $a=5$, $b=12$, $C=30^\circ$ のとき (2) $b=3$, $c=8$, $A=135^\circ$ のとき

三角形面積三角関数正弦

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