Download App

Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles3 Marks
Question
In a $\triangle\text{ABC,D}\ \text{and E}$ are points on the sides AB and AC respectively such that DE || BC.
If $\frac{\text{AD}}{\text{BD}}=\frac{4}{5}$ and EC = 2.5cm, find AE.
✓

Answer

Given: $\frac{\text{AD}}{\text{BD}}=\frac{4}{5}$ and EC = 2.5cm
by thales theorem,
$\frac{\text{AD}}{\text{BD}}=\frac{\text{AE}}{\text{CE}}$
$\Rightarrow\frac{4}{5}=\frac{\text{AE}}{2.5}\ \ (\because\text{CE}=\text{EC})$
$\Rightarrow\text{AE}=\frac{4\times2.5}{5}$
$\Rightarrow\text{AE}=2\text{cm}$

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 "3 Marks Question" from Triangles→Triangles — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Two tangents $TP$ and $TQ$ are drawn to a circle with centre $O$ from an external point $T$ . Prove that $\angle PTQ =2 \angle OPQ$.

Image
→
Find the value of k for which the following system of equations has no solution:
kx + 2y = 3
12x + ky = 6
→
In a circle of radius $21 \ cm$ , an are subtends an angle of $60^{\circ}$ at the centre. Find: $(i)$ the length of the are $(ii)$ area of the sector formed by the arc. $[$Use $\left.\pi=\frac{22}{7}\right]$
→
The areas of two similar triangles are $25 cm^2$ and $36 cm^2$ respectively. If the altitude of the first triangle is $2.4 \ cm$ , find the corresponding altitude of the other.
→
Which term of the $A.P. -2, -7, -12, …$ will be -$77?$ Find the sum of this $A.P$. up to the term $-77.$
→
Places $A$ and $B$ are $100 \ km$ apart on a highway. One car starts from $A$ and another from $B$ at the same time. If the cars travel in the same direction at different speeds, they meet in $5$ hours. If they travel towards each other they meet in $1$ hour. What are the speeds of the two cars?
→
In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are $1$ to $12$ classes in the school and each class has two sections, find how many trees were planted by the students.
→
Meena went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Meena got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 she received. Solve the pair of the linear equation obtained by the elimination method.
→
The first term of an $A.P.$ is $5$, the last term is $45$ and the sum is $400$. Find the number of terms and the common difference.
→
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 9.5m away from the wall. Find the length of the ladder.
→