Geometry – Page 135

Question-181201

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181201 by HeferH last updated on 22/Nov/22 Answered by ARUNG_Brandon_MBU last updated on 23/Nov/22 $\tan θ = \frac{3}{4}$ $\tan 2 θ = \frac{\frac{3}{4} + \frac{3}{4}}{1 - \frac{3}{4} \cdot \frac{3}{4}} = \frac{24}{7} = \frac{A C}{A E} = \frac{A C}{4}$ $\Rightarrow A C = \frac{96}{7}$ $area (A B C) = \frac{1}{2} \times A B \times A C$ $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{9}×\frac{\mathrm{96}}{\mathrm{7}}=\frac{\mathrm{432}}{\mathrm{7}}…

A-vertical-post-of-height-h-m-rises-from-a-plane-which-slopes-down-towards-the-South-at-an-angle-to-the-horizontal-Prove-that-the-length-of-its-shadow-when-the-sun-is-S-W-at-an-elevation-is-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 115642 by 24224 Opiyo Kamuki last updated on 27/Sep/20 $A v e r t i c a l p o s t o f h e i g h t h m r i s e s f r o m a p l a n e w h i c h$ $s l o p e s d o w n t o w a r d s t h e S o u t h a t a n a n g l e$ $α t o t h e h o r i z o n t a l . P r o v e t h a t t h e l e n g t h$ $o f i t s s h a d o w w h e n t h e s u n i s S θ W$ $a t a n e l e v a t i o n β i s$ $$\frac{{h}\sqrt{\left(\mathrm{1}+{tan}^{\mathrm{2}} \alpha\:{cos}^{\mathrm{2}}…

Question-181151

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181151 by mr W last updated on 22/Nov/22 Answered by SEKRET last updated on 22/Nov/22 $\sqrt{2}$ Answered by SEKRET last updated…

Question-181128

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181128 by Acem last updated on 21/Nov/22 Commented by Acem last updated on 21/Nov/22 $F i n d t h e l e n g t h o f t h e c r e a s e L (w, θ)$ Commented by Acem last updated on…

Let-the-acute-triangle-ABC-have-an-outer-circumscribed-circle-whose-tangents-at-the-points-B-and-C-intersect-at-point-P-Let-D-and-E-be-the-projections-of-perpendicular-lines-from-point-P-on-AC-and

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181125 by depressiveshrek last updated on 21/Nov/22 $L e t t h e a c u t e t r i a n g l e Δ A B C h a v e$ $a n o u t e r c i r c u m s c r i b e d c i r c l e,$ $w h o s e t a n g e n t s a t t h e p o i n t s B a n d C$ $i n t e r s e c t a t p o i n t P . L e t D a n d E b e$ $t h e p r o j e c t i o n s o f p e r p e n d i c u l a r$ $l i n e s f r o m p o i n t P o n A C a n d A B .$ $P r o v e t h a t t h e i n t e r d e c t i o n p o i n t o f$ $${the}\:{heights}\:{of}\:\Delta{ADE}\:{is}\:{the}\:{midpoint} \…

Question-181085

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181085 by mr W last updated on 21/Nov/22 Commented by mr W last updated on 21/Nov/22 $f i n d t h e d i a m e t e r o f s e m i c i r c l e .$ Commented by HeferH last…

Question-181070

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181070 by mr W last updated on 21/Nov/22 Commented by mr W last updated on 21/Nov/22 $[Q 181055 m o d i f i e d]$ $f i n d t h e a r e a o f t r a p a z o i d A B C D .$ Commented by…

Question-49987

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Question Number 49987 by ajfour last updated on 12/Dec/18 Commented by ajfour last updated on 12/Dec/18 $a \neq b, f i n d c i n t e r m s o f a a n d b .$ Commented by MJS last updated on…

Question-49984

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 49984 by behi83417@gmail.com last updated on 12/Dec/18 Commented by behi83417@gmail.com last updated on 12/Dec/18 $A \overset{△}{B C}, e q u i l a t e r a l . A B = a, A \overset{}{C E} = α .$ $f i n d : A D, B D, i n t e r m s o f a a n d α .$ Answered by…

Question-181051

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 181051 by mr W last updated on 20/Nov/22 Answered by a.lgnaoui last updated on 21/Nov/22 $c o t e d u c a r r e b l e u [C D] = b c o m m e i l$ $a p p a r a i t d a n s (i m a g e) e s t$ $C D : p r o l o n g e m e n t d e [A C] (A C)$ $$\left[{CD}\right]=\mathrm{2}×{AC} \…

Category: Geometry