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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

The problem asks us to find the measure of angle T in the given trapezoid TVZY. The trapezoid has TV...

TrapezoidIsosceles TrapezoidAnglesGeometric Proof

The problem asks to find the measure of angle D in a kite ABCD, where angle A is $36^{\circ}$ and an...

KiteAnglesQuadrilateralsAngle Sum Property

We are given the equation $\frac{4}{x-2} + \frac{1}{2(x-2)} = \frac{3}{4(x-2)}$ and we need to solve...

EquationsRational EquationsSolving EquationsNo Solution

問題1：海岸の100m離れた2地点A、Bから船Cを見ると、$A = 105^\circ$, $B = 45^\circ$であった。地点Aから船までの距離ACを求めなさい。問題2：C地点から、池の両側...

正弦定理余弦定理三角形角度距離

We are given the equation $\frac{4}{x-2} + \frac{1}{2(x-2)} = \frac{3}{4(x-2)}$ and we need to solve...

EquationsRational EquationsSolving EquationsNo Solution

三角形ABCにおいて、$a=2$, $b = \sqrt{2} + \sqrt{6}$, $C = 45^\circ$のとき、$c$, $A$, $B$の値を求めよ。

三角形余弦定理正弦定理辺と角角度

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