Question

In Triangle ABC, AB = 6 cm, BC = 8 cm and ZABC = 90°. An isosceles AACD is described on the base of AC wher AD = CD = 13 cm. Find (1) AC and (ii) Area of ABCD. = D 13 cm.​

Answer 1

Answer:

Correct option is C)

Given:

In △ABC

AB=6

3

cm

AC=12cm

BC=6cm

Solution:

AC

2

=144

AB

2

=108

BC

2

=36

Since,

AC

2

=AB

2

+BC

2

∴ By Converse of Pythagoras Theorem,

△ABC is an Right Angle Triangle at B.

∴∠B=90

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