NCERT Class 10 Chapter 7 Triangles Official CBSE Board Sample Problems Very Short Answer (For CBSE, ICSE, IAS, NET, NRA 2022)

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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.