Calculate the lengths of the sides of the triangle:
The triangle has three different sides, so it's a scalene triangle.
Now if c is the longest side of the triangle, and a and b are the shorter sides, then:
- if , the triangle is right
- if , the triangle is acute
- if , the triangle is obtuse
The longest side is 5.
The square of the longest side is equal to the sum of the squares of the shorter sides, so it's a right triangle.
The triangle is a right scalene triangle.
Answer:
33 minutes. 20- 14.72=5.28
Step-by-step explanation:
20- 14.72=5.28. then divide 5.28 by .16(cents per minute) to get 33 minutes
Answer:
V=π(d
2)2h=π·(12.8
2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
Answer: 23, 25, 27
Step-by-step explanation:
Let the 3 consecutive odd numbers be x, x+2 and x+4.
So
2x+(x+2)+3(x+4)=152
2x + x + 2 + 3x + 12 = 152
6x+14=152
6x = 152 - 14
x=138/6
x=23
So, the numbers are 23, 25 and 27.
