All categories

3 years ago

If the bases of an isosceles trapezoid have lengths of 13 and 26 what is the length of the median

Mathematics

2 answers:

alukav5142 [94]3 years ago

6 0

Answer: the answer is C . 19.5 units - APEX :D

Reika [66]3 years ago

5 0

Answer:

Answer is 19.5 units

Step-by-step explanation:

Given that there is a trapezoid.

Its bases are 13 and 26 respectively.

Non parallel sides are congruent

To find the median that is the length of line connecting the midpoints of the non parallel sides

If we draw any one diagonal we see that median is the line connecting the mid point of two triangles with the parallel sides as bases

Hence length of median= 1/2 (base 1+base 2)

(By triangle mid point theorem)

= 1/2 (13+26)

=19.5 units

You might be interested in

Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption

nataly862011 [7]

the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same

7 0

2 years ago

A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

We have to find the distance between the golf ball and the center of the green .

<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

Here, 

Distance between marker and centre of green is 150 yards
That is, Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
That is, Angle = 100°
The golfer peces off 30 yards to his ball
That is, Base = 30 yards

According to the law of cosine :-

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

5 0

2 years ago

BRAINLIEST ASAP! PLEASE HELP ME :) thxx

olga nikolaevna [1]

Answer:

2nd point

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

All of the following are names of spheres shown except Т S А

FrozenT [24]

Answer: Don't know sorry

Step-by-step explanation:

7 0

2 years ago

Determine the type(s) of the triangle with the given coordinates. X(6,1) Y(-2,-3) Z(0,3)

jeyben [28]

The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.

The given coordinates are X(6,1) Y(-2,-3) Z(0,3).

<h3>What are coordinates?</h3>

A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.

We know that, Distance formula $=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }$