Download App

Triangles — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsTriangles2 Marks
✓

Answer

Given: In the figure, $\triangle ABE \cong \triangle ACD$
To prove: $\triangle ADE \sim \triangle ABC$
Proof:
$\because \triangle ABE \cong \triangle ACD$........[Given]
$\therefore $  AB = AC........[CPCT
AE = AD ........(1)
Also,  $\angle$  DAE=  $\angle$  BAC.......[Common  $\angle$  ].......(2)
In view of (1) and [SAS similarity criterion]

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Triangles→Triangles — all question types→Maths STD 10 question papers→Gujarat Board STD 10 question papers→Gujarat Board question paper generator→

Similar questions

Show that $x = -3$ is a solution of $x^2+6 x+9=0$.
→
A solid iron pole consists of a cylinder of height $220$ cm and base diameter $24$ cm is surmounted by another cylinder of height $60\ cm$ and radius $8\ cm$. Find the mass of the pole, given that $1\ cm^3$ of iron has approximately $8$ g mass. $($Use $\pi = 3.14)$
→
The $17^{\text {th }}$ term of $A P$ is 5 more than twich its $8^{\text {th }}$ term. If the $11^{\text {th }}$ term of the $A P$ is $43$ , find its $\mathrm{n}^{\text {th }}$ term.
→
The ratio of incomes of two persons is $9 : 7$ and the ratio of their expenditures is $4 : 3.$ If each of them manages to save $₹ 2000$ per month, then find their monthly incomes.
→
Draw an ogive to represent the following frequency distribution:
Class-interval 0-4 5-9 10-14 15-19 20-24
No. of students 2 6 10 5 3
→
Prove the following trigonometric identities.
$(1-\cos^2\text{A})\text{cosec}^2\text{A}=1$
→
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Runs scored Number of batsmen
$3000-4000$ $4$
$4000-5000$ $18$
$5000-6000$ $9$
$6000-7000$ $7$
$7000-8000$ $6$
$8000-9000$ $3$
$9000-10000$ $1$
$10000-11000$ $1$
Find the mode of the data.
→
Prove the following trigonometric identities.
$(1+\cot^2\text{A})\sin^2\text{A}=1$
→
Show that the progressions given below is an $AP.$ Find the first term, common difference and next term.
$-1,\frac{-5}{6},\frac{-2}{3},\frac{-1}{2},....$
→
$150$ spherical marbles, each of diameter $1.4\ cm$ are dropped in a cylindrical vessel of diameter $7\ cm$ containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
→