CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 16 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 19:

A ladder reaches a window which is above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window high. Find the width of the street if the length of the ladder is .

Marks-3-Che-6-Que-19-Find the Width of the Street if the Len …

Answer:

Let AB be the width of the street and be the foot of ladder.

Let D and E be the windows at heights and respectively from the ground.

In , right angled at A, we have

In , right angled at B, we have

Hence, width of the street

Question 20:

In figure, , if the area of is , then find the area of the quadrilateral PYZQ.

Marks-3-Che-6-Que-20-the Area of the Quadrilateral PYZQ

Answer:

Given

In , we have

We have

Substituting in (i) , we get

Area of quadrilateral