Ms.Henderson is using triangles in her graphic design project.The triangles are isosceles.One had a base of 4 inches and legs of
1 answer:
If the two triangles are similar you can use a proportion to solve for the length of the legs.
=
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.
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Answer:
Yes, the student can use three of these sticks to make a right triangle.
Step-by-step explanation:
The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.
Now, in a right angled triangle, by PYTHAGORAS THEOREM the three sides of the triangle base, perpendicular and hypotenuse are in the given following relation :
Now, here among all four sticks
and
So, there exists three sticks of length 3 in, 4 in and 5 inches which satisft Pythagoras Theorem , such that:
So, the required length sticks are 3 inches, 4 inches and 5 inches.
Hence, the student use three of these sticks to make a right triangle.