PQRS is a square and T is the intersection of he diagonals. STP=?
1 answer:
STP is a right, isosceles triangle.
The diagonals of a square cut the square itself in two equal right isosceles triangles. So, both diagonals cut the square in four right isosceles triangles.
STP is a right triangle because the two diagonal are perpendicular to each other, and it is isosceles because ST and TP are both half a diagonal, because the two diagonals intersect in their midpoint.
So, the angles of STP are 90, 45 and 45 degrees.
As for the lengths, SP is a side of the square, so let's call its length . The diagonals of a square are
units long, and so
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Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:
Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
