There are many strategies that can be used it really depends on what kind of questions you're answering.
Answer:
6 and 8
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches.
To find the length of one of the legs, we use the idea of Pythagorean Triples.
Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:
- 3, 4 and 5
- 5, 12 and 13
- 9, 40 and 41
Note that in a Pythagorean Triple,
- The longest length is always the Hypotenuse.
- New Triples can be formed from product of existing triples.
In our given triangle, the Hypotenuse=10 Inches
Consider the Pythagorean Triple 3,4, and 5
- 5 is the Hypotenuse
- Multiply the Triples by 2, we obtain:
- 6, 8 and 10 (in which 10 is the hypotenuse)
Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.
Answer:
what's the height? and are the numbers listed multiple choice?
Answer:
![\sqrt{35}](https://tex.z-dn.net/?f=%5Csqrt%7B35%7D)
Step-by-step explanation:
By Pythagoras theorem,
1^2+x^2=6^2
or, x^2=36-1=35
or, x=![\sqrt{35}](https://tex.z-dn.net/?f=%5Csqrt%7B35%7D)
Number of miles Leeann rode on Day 1 =6.75 miles
Number of miles Leeann rode on Day 2=12.4 miles
The question is asking us to find the total number of miles she rode in all.
Number of miles Leeann rode on Day 1 and day 2 = 6.75+12.4=19.15 miles.
Number of miles she ride her bike both days is 19.5 miles.