Answered

Get expert insights and reliable answers to your questions on IDNLearn.com. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

The legs of an isosceles right triangle are 5 inches long. What is the length of the hypotenuse of the triangle to the nearest inch?

Sagot :

[tex] a^{2} + b^{2} = c^{2} \\ 5^{2} + 5^{2} = c^{2} \\ 25 + 25 = c^{2} \\ 50= c^{2} \\ \sqrt{50}= c \\ c=7.07[/tex]
[tex]c[/tex] ≈ [tex]7[/tex]

The hypotenuse is about 7 inches long.

Naǫidn
The legs are 5 inches long.

Use the Pythagorean theorem:
[tex]5^2+5^2=c^2 \\ 25+25=c^2 \\ 50=c^2 \\ c=\sqrt{50} \\ c=\sqrt{25 \times 2} \\ c=5 \sqrt{2} \\ c \approx 7[/tex]

The length of the hypotenuse of the triangle is approximately 7 inches long.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.