Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
Answer:
B. 21.64
Step-by-step explanation:
We have been given a triangle and we are asked to find the length of AC (b).
We will use law of cosines to find the length of side AC.
Upon substituting our given values in the formula we will get,
Upon taking square root of both sides of our equation we will be get,
Therefore, the length of b is 21.64 and option B is the correct choice.
Answer:
G 36
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
m<ABC = 116°
m<CDE = 67°
Step-by-step explanation:
✔️m<ABC = 180 - m<BAD (adjacent angles of a parallelogram are supplementary)
m<ABC = 180 - 64° (Substitution)
m<ABC = 116°
✔️m<CDA = m<CDE + m<ADE (angle addition postulate)
m<CDA = m<CDE + 49°
m<CDA = m<ABC (opposite angles of a parallelogram are congruent)
m<CDE + 49° = 116° (substitution)
m<CDE = 116° - 49° (Substraction property of equality)
m<CDE = 67°
A kite is a flat shape with straight sides. It has two pairs of equal-length adjacent (next to each other) sides.
Main properties of an arbitrary kite:
- Two pairs of sides are of equal length.
- One pair of diagonally opposite angles is equal.
- Only one diagonal is bisected by the other.
- The diagonals cross at 90°.
1. Option 1 is false, because sides that are adjacent to the right angle could have different lengths or diagonals can cross not at 90°.
2. Option 2 is correct, because this option is strictly the definition of the kite.
3. Option 3 is false, because MK and LJ can be not perpendicular, and then adjacent sides will not have the same lengths.
4. Option 3 is false, because despite the perpendicularity between MK and LJ, this figure could be rhombus (with all equal sides) or square (with all equal sides and all right angles).
By the way, rhombus and square are partial cases of kite, but in general, an arbitrary kite is not rhombus and is not square.
Answer: correct choice is 2.
