Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:
Use Pythagoras in triangle HKL
Taking square root on both sides.
Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,
Use Pythagoras theorem in ΔHKI,
From (1) and (2) we get
Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).
Taking square root on both sides.
Hence, the measure of KI is 11.25 units.
Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
1. Use a straightedge to draw line m and label a point on the line as point F
2. Construct a line perpendicular to line m through point F. Label a point on this line as point G.
3. With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.
4. Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.
5. Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.
6. Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
