in traingle ABC, AB 4root3 cm, BC=4cm,AC=8cm. Then find the angle B. please answer step by step and fast
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Answer:
Given that, in △ABC, AB=AC=8 cm, BC=4 cm and AP=6 cm
In △ABC,
BC
AB
=
4
8
=2....(i)
AC=8 cm and AP=6 cm
∴ CP=8−6=2 cm
In ΔBPC,
CP
BC
=
2
4
=2....(ii)
From (i) and (ii), we get:
BC
AB
=
CP
BC
=2
Also, angle C is common in both triangles
∴ ∠ACB=∠PCB
Therefore, by SAS similarity criterion, ΔABC∼ΔBPC
Hence,
BP
AB
=
BC
AC
BP
8
=
4
8
∴ BP=4 cm
Step-by-step explanation:
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