winnerlimlim
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

help!!!

prove triangle PAB is an equilateral triangle

HELP PLEASEE

Help Prove Triangle PAB Is An Equilateral Triangle HELP PLEASEE class=

Sagot :

fieryanswererft

Answer:

If three sides of a triangle are equal and the measure of all three angles is equal to 60 degrees then the triangle is an equilateral triangle.  Therefore it is an equilateral triangle.

In ∆PAM and ∆PBM

[tex]\because\pink{\sf\begin{cases} \sf AM=BM(Bisected\:by\:PM)\\ \sf PA=PB(Given)\\ \sf PM(Common\:side)\end{cases}}[/tex]

[tex]\\ \sf\longmapsto ∆PAM\cong ∆PBM(SSS)[/tex]

[tex]\\ \sf\longmapsto PA+AM=PB+BM[/tex]

  • Put AM =BM

[tex]\\ \sf\longmapsto PA+AM+AM=PB+BM+BM[/tex]

  • Put PA=PB

[tex]\\ \sf\longmapsto PA+AB=PB+AB[/tex]

Hence

∆APB is a equilateral triangle

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.