Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

I need help on geometry proofs

I Need Help On Geometry Proofs class=

Sagot :

The hypotenuse has got to have the longest side in a right angled triangle.

Say, A=Adjacent, O=Opposite, H=Hypotenuse

A²+O²=H²

Therefore,

A²<H²

O²<H²

As this is the case:

H>A

H>O
Other proof:

Look at the picture.

[tex]sin\alpha\in (0;\ 1)\\\\sin\alpha=\frac{b}{h} < 1\ therefore\ h > b\\\\cos\alpha\in(0;\ 1)\\\\cos\alpha=\frac{a}{h} < 1\ therefore\ h > a\\\\the\ conclusion:\ h > a\ and\ h > b\ \Rightarrow h\ has\ to\ be\ the\ longest\ side\\of\ a\ right\ triangle.[/tex]
View image Аноним
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.