NCERT Class 10 Chapter 7 Triangles Official CBSE Board Sample Problems Very Short Answer
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Question
Let, ar and ar. If AB = 26 cm then find DE.
Solution
It is given that
[When two triangles are similar then the ratio of their areas is equal to ratio of squares of any of corresponding sides]
So.
DE=22cm
Question
If AB=3cm BC=5cm, AC=6cm, RP=6cm and PQ=1O cm then find QR.
Solution
It is given that
Now, AB=3cm, RP=6cm, QR=?, AC=6cm
So,
QR
Question
In , . If AD = 4 cm, DE = 12 cm and DW = 24 cm, then find the value of DB.
Solution
1n,
So, by B.P.T.,
Question
If, AB=3cm, BC=5 cm, AC=6cm, RP=6 cm and PQ=10 cm then find
Solution
. (Given)
(Proportional sides of similar triangles)
QR= 12cm.
Question
Such that DE = 3cm, EF =2 cm, DF 2.5 and BC = 4cm.
Find perimeter of,.
Solution

Triangle
DE = 3cm, EF =2 cm, DF and BC 4cm
Since
Hence AC 5cm and AB = 6cm
Perimeter of
Question
If triangle ABC is similar to triangle PQR, Perimeter of triangle cm, Perimeter of triangle =45cm, PR = 9cm then find AC.
Solution
Ratio of the perimeters of two similar triangles is equal to the ratio of the corresponding sides.
Question
The areas of two similar triangles ABC and DEF are and respectively. If the longest side of the larger triangle is 36cm, find the longest side of the other triangle.
Solution
Question
In triangle ABC, and If AC = 4.8cm. Find AE.
Solution
Question
P and Q are the points on the sides DE and DF of a triangle DEF such that,, and QF= 18 cm.
Is? Give reasons for your answer.
Solution
As
Therefore PQ is not parallel to EF.