A few quick algebra 1 problems?
1. Given ABC, when <C is the right angle and a=10, and b=12, the length of the hypotenuse, c, is:
a. 244
b. 15.62
c. 4.69
2. Is ABC a right triangle if the length of the three sides are 12, 13, and 15?
a. no
b. yes
c. cannot be determined
3. Find the length of the diagonal of a rectangle whose dimensions are 15m by 6m. Approximate to the nearest hundredth.
a. 16.16
b. 16.155
c. 16.15
4. In XYZ, leg x=20 and hypotenuse y=25. What will the leg z equal if this is a right triangle?
a. 15
b. 5
c. 32.02
5. Select the group of fractions that are arranged in order from least to greatest.
a. 2 2/3< 2 3/4 <13/5
b. 13.5< 2 2/3 <2 3/4
c. 2 2/3< 13/5 <2 3/4
Thank you so much!!!!
Comments
a^2 + b^2 = c^2
1. 10^2+12^2= 244
244=c^2- take the square root
b
2. 12^2 + 13^2= 313 15^=225- so no
a
3. the diagonal makes a right triangle 15^2+6^2=c^2
c=16.155- but to the nearest hundredth is 16.16
a
4. c^2-b^2=a^2
15
a
5. b