P is the incenter of ΔXYZ. If PY = 35 and JY = 28, find LP.
2 answers:
Answer: The correct option is (D) 21.
Step-by-step explanation: Given that the point P is an incenter of ΔXYZ. Also, PY = 35 and JY = 28.
We are to find the length of LP.
Since PJ is perpendicular to teh side YZ, so the triangle PJY will be a right-angled triangle with PY as the hypotenuse.
Using Pythagoras theorem in triangle PJY, we have
Since the distance from the incenter of a triangle to all the three sides are equal, so we get
LP = PJ = 21 units.
Option (D) is CORRECT.
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Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.
Lets assume x points she earn per library
She earns 4 more points for museum than library.
4 more points per museum per x . so the points earned per museum is x+4
she earned 179 points from 11 museums and 4 libraries.
So the equation becomes
( subtract 44 from both sides)
(divide by 15 from both sides)
x = 9
She earns 9 points per library
We know points per museum = x+4 = 9+4 = 13
She earns 13 points per museum .
First we need to calculate the 2 angles that make up Angle B at the top of the triangle.
Using that angle we can find the length of CD.
See the attached picture:
Using that angle we can find the length of CD.
See the attached picture: