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Chapter 11: Q20. (page 426)

Consecutive sides of the figures are perpendicular. Find the area of each figure.

Short Answer

Expert verified

Area of the figure (A)=813units

Step by step solution

01

Step 1. Given information.

Consecutive sides of the figure is perpendicular.

02

Step 2. Concept  Used.

Since the two triangles are right angles triangle.

Where, B is the base of the triangles P , is the height of the triangles and H is the Hypotenuse of the triangles.

Each triangle is300鈭�600鈭�900triangle.

Then

sides follow the ratio

1:3:2

Thus-

H=18unitsB=182=9unitsP=93units

03

 Step 3. Let’s calculate the area of the triangle. 

Now, area of the triangle

A=12(B脳P)=12(9)脳(93)=8132

We know that the diagonal of a rectangle divide it into two equal triangles.

Thus,

A=(2)脳8132=813units

Therefore, the area of the figure (A)=813units

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