Answer:
EH = 9.4
Step-by-step explanation:
A rhombus is a quadrilateral with equal length of sides.
Given that, EF = 13 and DF = 18
⇒ DH = HF =
= 9
The property that the diagonals of a rhombus are at right angle to each other.
Thus, applying the Pythagoras theorem, we have;
=
+
=
+
=
+
169 = + 81
= 169 - 81
= 88
EH =
= 9.381
The length EH is 9.4
<u>Given</u>:
Given that JKL is a right triangle.
The measure of ∠L is 90°
The length of JL = 24, LK = 7, and KJ = 25.
We need to determine the value of sine of ∠K.
<u>Value of sin ∠K:</u>
The value of sin ∠K can be determine using the trigonometric ratio.
Thus, we have;
Substituting , the side opposite to angle K is JL and the hypotenuse is JK
Thus, we have;
Substituting JL = 24 and JK = 25, we get;
Simplifying, we get;
Thus, the measure of sine of ∠K is 73.74°
