# 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

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.