Geometry – Page 216

In-a-triangle-ABC-with-BCA-90-the-perpendicular-bisector-of-AB-intersects-segments-AB-and-AC-at-X-and-Y-respectively-If-the-ratio-of-the-area-of-quadrilateral-BXYC-to-the-area-of-triangle-ABC-i

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 19794 by Tinkutara last updated on 15/Aug/17 $In a triangle A B C with ∠ B C A = 90 °,$ $the perpendicular bisector of A B$ $intersects segments A B and A C at X$ $and Y, respectively . If the ratio of the$ $area of quadrilateral B X Y C to the$ $area of triangle A B C is 13 : 18 and$ $B C = 12 then what is the length of A C ?$ Terms…

The-sides-of-a-triangle-are-of-lengths-m-2-n-2-m-2-n-2-2mn-Show-that-it-is-a-right-angle-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 19783 by NECC last updated on 15/Aug/17 $T h e s i d e s o f a t r i a n g l e a r e o f$ $l e n g t h s \sqrt{(m^{2} - n^{2})}, m^{2} + n^{2}, 2 m n .$ $S h o w t h a t i t i s a r i g h t a n g l e Δ .$ Commented by Tinkutara last updated…

Find-the-symmetry-axes-if-any-of-the-following-curve-x-2-y-2-2xy-2x-8y-2-0-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 85298 by mr W last updated on 20/Mar/20 $F i n d t h e s y m m e t r y a x e s (i f a n y) o f$ $t h e f o l l o w i n g c u r v e :$ $x^{2} + y^{2} - 2 x y + 2 x - 8 y - 2 = 0$ Commented by jagoll last updated on…

Question-150789

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 150789 by cherokeesay last updated on 15/Aug/21 Answered by nimnim last updated on 15/Aug/21 $\frac{1}{\sqrt{r}} = \frac{1}{\sqrt{R}} + \frac{1}{\sqrt{R}} \Rightarrow \frac{1}{\sqrt{r}} = \frac{1}{2} + \frac{1}{2}$ $\Rightarrow r = 1$ $S_{a r e a} = π {(1)}^{2} = π {c m}^{2}$ …

In-the-cyclic-quadrilateral-ABCD-AB-7-BC-8-CD-8-DA-15-Calculate-the-angle-ADC-and-the-length-ofAC-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 19709 by NECC last updated on 14/Aug/17 $I n t h e c y c l i c q u a d r i l a t e r a l A B C D$ $A B = 7, B C = 8, C D = 8, D A = 15 .$ $C a l c u l a t e t h e a n g l e A D C a n d$ $t h e l e n g t h o f A C .$ Answered by Tinkutara last updated on 15/Aug/17…

Question-85241

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 85241 by Power last updated on 20/Mar/20 Answered by jagoll last updated on 20/Mar/20 $minimum \frac{{4 s}^{2} + t^{2}}{5 st} = \frac{{4 s}^{2}}{5 st} + \frac{t^{2}}{5 st}$ $= \frac{4}{5} (\frac{s}{t}) + \frac{1}{5} (\frac{t}{s}) .$ $$\mathrm{let}\:\frac{\mathrm{s}}{\mathrm{t}}\:=\:\mathrm{u}\:\Rightarrow\mathrm{f}\left(\mathrm{u}\right)\:=\:\frac{\mathrm{4}}{\mathrm{5}}\mathrm{u}+\frac{\mathrm{1}}{\mathrm{5}}\mathrm{u}^{−\mathrm{1}}…

Let-S-be-a-circle-with-centre-O-A-chord-AB-not-a-diameter-divides-S-into-two-regions-R-1-and-R-2-such-that-O-belongs-to-R-2-Let-S-1-be-a-circle-with-centre-in-R-1-touching-AB-at-X-and-S-inte

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 19699 by Tinkutara last updated on 14/Aug/17 $Let S be a circle with centre O . A chord$ $A B, not a diameter, divides S into two$ $regions R_{1} and R_{2} such that O belongs$ $to R_{2} . Let S_{1} be a circle with centre in$ $R_{1}, touching A B at X and S internally .$ $$\mathrm{Let}\:{S}_{\mathrm{2}}…

Question-19668

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 19668 by Joel577 last updated on 14/Aug/17 Commented by Joel577 last updated on 15/Aug/17 $An equateral triangle with side lenght$ $d . Circle L_{1} touching Δ A B C at A and B .$ $Circle L_{2} touching A C, B C, and L_{1}$ $$\mathrm{Find}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{circle}\:{L}_{\mathrm{2}}…

1-sec-sec-sin-2-1-cos-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 19659 by thukada last updated on 14/Aug/17 $\frac{1 + s e c θ}{s e c θ} = \frac{{s i n}^{2} θ}{1 - c o s θ}$ Answered by prakash jain last updated on 14/Aug/17 $$\frac{\mathrm{1}+\mathrm{sec}\:\theta}{\mathrm{sec}\:\theta}=\mathrm{1}+\frac{\mathrm{1}}{\mathrm{sec}\:\theta} \…

Question-150688

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 150688 by ajfour last updated on 14/Aug/21 Commented by ajfour last updated on 14/Aug/21 $F i n d m a x i m u m t e t r a h e d r o n$ $v o l u m e .$ Answered by mr W…

Category: Geometry