A triangle has sides with lengths of 7 yards, 12 yards, and 13 yards. Is it a right triangle?
2 answers:
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Answer: Square root 85 units
Step-by-step explanation:
Given: The legs of a right triangle are 6 units and 7 units.
Let h be the hypotenuse of the right triangle.
By Pythagoras theorem of right triangle, we have
Hence, the length of the hypotenuse
- Pythagoras theorem of right triangle says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm