Question

Q.1 Three ballet dancers are positioned on stage. Lia is straight behind Darell and directly left of Allen. If Darell and Lia are 12 feet apart, and Allen and Darell are 15 feet apart, what is the distance between Lia and Allen?
Q.2 Trisha is in a hot air balloon that has just taken off and is now floating 8 meters above its launching point. Heather is standing on the ground, 15 meters away from the launching point. How far apart are Trisha and Heather
Q.3 Whenever she visits Winchester, Karlene has to drive 16 kilometers due north from home. Whenever she visits Ashland, she has to drive 12 kilometers due east from home. How far apart are Winchester and Ashland, measured in a straight line?
Q.4 A flying squirrel's nest is 12 feet high in a tree. From its nest, the flying squirrel glid es 13 feet to reach an acorn that is on the ground. How far is the acorn from the base of the tree?
Q.5 Bella's school is due west of her house and due south of her friend Kylie's house. The distance between the school and Kylie's house is 8 kilometers and the straight-line distance between Bella's house and Kylie's house is 10 kilometers. How far is Bella's house from school?

answer all the. questions I will defiantly mark u as brainlist

Answer 1

Hey dear mate!

Is the answer to the :

1st is 9

2nd is 17

3rd is 20

4th is 5

5th is 6

If it helps you....then please mark brainliest

Answer 2

Concept

The Theorem used for right angle triangle to find the sides of the right angle where the Square of the side is equal to the sum of the square of other two sides.

Given

1. sides of triangle given are 15 and 12

2. sides of the triangle given are 8 and 15

3. sides of the triangle given are 16 and 12

4. sides of the triangle given are 13 and 12

5. sides of the triangle given are 10 and 8

Find

We need to find the following sides

1. Base

2. Hypotenuse

3.Hypotenuse

4. Base

5. Perpendicular

Solution

1.  We know that the sides of triangles given are 15 and 12 which are perpendicular and hypotenuse

Let the value of base be x

So , by Pythagoras theorem

$(x)^2=(15)^2-(12)^2$

  $x^2 = 255-144\\= 81$

$x^2=81\\x=9$

The distance between Lia and Allen is 9m

2. We know that the sides of triangles given are 8 and 15  which are perpendicular and base

Let the value of the hypotenuse by x

So by Pythagoras theorem

$x^2 = (8)^2+(15)^2\\ = 64+225\\= 289\\x^2= 289\\x=17$

The distance between Trisha and Heather is 17m

3.We know that the sides of triangles given are 16 and 12  which are perpendicular and base

Let the hypotenuse be x

So by Pythagoras theorem

$x^2 = (16)^2+(12)^2\\x^2 = 400\\x = 20$

The distance between Winchester and Ashland  is 20km

4. We know that the sides of triangles given are 13 and 12  which are Hypotenuse and perpendicular

Let the Base be x

So by Pythagoras theorem

$x^2 = (13)^2-(12)^2\\x^2 = 25\\x = 5 feet$

The acorn from the base of the tree is 5 feet

5. We know that the sides of triangles given are 13 and 12  which are Hypotenuse and base

Let the perpendicular be x

So by Pythagoras theorem

$x^2= (10)^2 -(8)^2\\x^2 = 36\\x = 6$

The distance of Bella's house from school is 6km

#SPJ2