# 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

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.