Question

(5) The hypotenuse of a right triangle in the Euclidean plane has length 4 inches. The altitude is drawn to the hypotenuse, dividing the hypotenuse into two segments, the shorter of which is 1 inch in length. What is the length of the side of the original right triangle that is adjacent to the smaller segment of the hypotenuse?

Answer #1

one leg of the right triangle is 8 inches more than
twice the length of the other leg. The hypotenuse is 9 inches more
than the shorter leg. Find the length of all sides.
The three sides of the triangle are......inches

one
leg of a right triangle is 6 inches more than four times the length
of the other leg. the hypotenuse is 9 inches more than the shorter
leg. find the lengths of all the sides.

If the hypotenuse of a right traingle is 5 inches long and one
of the sides is 4 inches long, how long is the remaining side?
a) 2 inches
b) 3 inches
c) 4 inches
d) 5 inches
If (a + 1)(a-1) = 3, then a^2 =
a. Square root of 2
b. Square root of 3
c. 4
d. 9

Triangle S R Q is shown. Angle S R Q is a right angle. An
altitude is drawn from point R to point T on side S Q to form a
right angle. The length of T Q is 16 and the length of R Q is 20.
What is the length of Line segment S R? 9 units 12 units 15 units
18 units

What is the reference angle to 240o and A
45o-45o-90o triangle has a side
length of 4. What is the other side and the length of the
hypotenuse equal to?

Circle A has a radius of 9 units. Point R lies 5 units away from
A. A chord drawn through R is partitioned by the diameter of A
passing through R into two segments, one of which has a length of 7
units. Is the length of the other segment longer or shorter than 7
units? Justify your answer.

∠ABC is a right angle. AB = 8 inches,
BC = 13 inches, and AD = 3 feet. Determine the
surface area (in square inches) and volume (in cubic inches) of the
following. (Round your answers to one decimal place.)
A triangular prism is given. The prism is oriented so that the
top and bottom faces are triangles. Four vertices of the prism are
labeled as follows:
The bottom left vertex of the top triangular face is labeled
A.
The...

A. Explain the connections between geometric constructions and
two of Euclid’s postulates.
1. A straight line segment can be drawn joining any two
points.
2. Any straight line segment can be extended indefinitely in a
straight line.
3. Given any straight line segment, a circle can be drawn having
the segment as radius and one endpoint as center.
4. All right angles are congruent.
5. If two lines are drawn which intersect a third in such a way
that the...

Three identical small metal spheres form an equilateral triangle
of side length d = 3.5 cm. Initially, q1 = +2.0 nC, q2 = +6.0 nC,
and q3 = ?8.0 nC. Sphere 2 is first moved to touch sphere 1, then
moved again to touch sphere 3, and finally returned to the original
position. What now is the magnitude of the electrostatic force
exerted on sphere 1 by the other two spheres (in N)?
The answer was: 1.0*10^4 N

1) A triangle has vertices P(–1, –5), Q(4, –11), and R(10,
–6).
Determine what type of triangle ▵PQR is.
2)A quadrilateral has vertices A(7, –2), B(9, 1), C(12, –1),
and D(10, –4).
Show that the diagonals of quadrilateral ABCD are
perpendicular to each other.

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