If the triangle has a angle of 90°, you can solved this exercise by applying the Pythagorean Theorem, which is:
h²=a²+b²
h=√(a²+b²)
h: It is the hypotenuse
(The opposite side of the right angle and the longest side of the triangle).
a and b: They are the legs
(The sides that form the right angle).
The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:
h=√(a²+b²)
h=√((9.2)²+(14.5)²)
h=17.1
Therefore, the answer is:
Yes, the given measures can be the lengths of the sides of a triangle.
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
.1 repeating - decimal
11% - percentage
5: THEO = what should happen
EXP = Wha actually happens.
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
Hope this helps:) plz mark brainiest i would really apperciate it
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