Answer:
A. x > 1
Step-by-step explanation:
2x + 3 >= 7
2x >= 4
x >= 2
or
2x + 9 > 11
2x > 2
x > 1
Answer
x > 1
Complete question:
Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)
- BC = 6 cm
- AC = 5 cm
- BA = 4 cm
- The perimeter of triangle ABC = 12 cm.
- The area of triangle ABC is One-third the area of triangle DEF.
Answer:
2. A-C = 5 cm
3. B-A = 4 cm
4. The perimeter of triangle A-B-C = 12 cm.
Step-by-step explanation:
First, picture a triangle formed by points D-E-F.
- Side F-D = 6 centimeters
- Side D-E = 10 centimeters
- Side F-E = 8 centimeters
Now,
- the midpoint of side F-D is A ⇒ 6/2 = 3cm
- the midpoint of side D-E is B ⇒ 10/2 = 5cm
- the midpoint of side F-E is C ⇒ 8/2 = 4cm
These values suggest that
- Side F-A ⇒ 3 cm = Side B-C ⇒ 3cm
- Side E-B ⇒ 5 cm = Side A-C ⇒ 5cm
- Side F-C = E-C ⇒ 4cm = Side A-B ⇒ 4cm
The perimeter of the interior triangle ABC = 3cm + 5cm + 4cm = 12 cm
The total area of the interior triangle ABC is 1/4 the area of triangle DEF. You can see in the picture that there are four equal triangles inside DEF.
Answer:
1/2
Step-by-step explanation:
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Answer:
The area of the triangle is 3750 m²
Step-by-step explanation:
- The formula of the area of a right triangle is A = bh, where b and h are the legs of the right angle
- The longest side in the right triangle is the side opposite to the right angle and is called the hypotenuse
- The length of the hypotenuse =
∵ The longest side of a right angled triangle is 125 m
∴ the length of the hypotenuse = 125 m
∵ The length of one of the remaining two side is 100 m
∴ b = 100 m
To find the area of the triangle you must find the other side of the right angle
∵ The length of the hypotenuse =
∴ 125 =
- Square the two sides
∴ 15625 = 10000 + h²
- Subtract 10000 from both sides
∴ 5625 = h²
- Take √ for both sides
∴ 75 = h
∴ h = 75 m
∵ A = bh
- Substitute the values of b and h in the formula above
∴ A = (100)(75)
∴ A = 3750
∴ The area of the triangle is 3750 m²
Answer:
Yes and it’s so annoying because I really need answers they’re like 10 points rip and also try to report as many as you can :)
Step-by-step explanation:
Maybe they should add a captchas when you answer?