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zubka84 [21]
3 years ago
13

PLZ HELP ME HURRY PWEASE!!!!!!!!!

Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

1.5.80 miles

2.9.80ft

3.56 inches

4.5.20 units

5. 13 units

6.5.40 ft

Step-by-step explanation:

⇒These questions are on the Pythagorean relationship

⇒General expression is ;

a²+b²=c² where a and b are values for the legs and c is the hypotenuse

1. Isaiah waked 3 miles north and 5 miles east.

Finding the distance from starting point we apply the equation;

a²+b²=c² where a=5 miles and b=3miles

5²+3²=c²

25+9=c²

34=c²

c=√34 = 5.80 miles

2.The ladder is leaning against the wall to form the hypotenuse side of 10 ft.The distance from the base to the ladder forms side a= 2ft. The question requires you to calculate the height b.

a²+b²=c²

2²+b²=10²

4+b²=100

b²=100-4

b=√96

b=9.80 ft

3. The television has a diagonal of 70 inches to represent side c and a height of 42 inches to represent the side a. The question requires you to find the width of  the television which represents the side b

a²+ b²=c²

42²+b²=70²

b²=70²-42²

b=√3136

c=56 inches

4. An equilateral triangle is one that has all its sides and angles equal. Here you have to introduce a perpendicular line from the apex point of the triangle to the base and get the distance a.The using the hypotenuse and the distance a, you can find the height/b.

c= 6 units and a=6/2= 3 units

a²+b²=c²     3²+ b²= 6²

9+b²=36

b²=36-9

b=√27 =5.20 units

5.In this question, you are given the height and the width of the right triangle thus apply the relationship as;

a²+b²=c²..........where a=5 and b=12

5²+12²=c²

25+144=c²⇒⇒⇒c=√169 =13 units

6. In this question, the height of the plant represents side b and the distance of the base from where the string is tied is side b.You are to find the length of the string which represents the hypotenuse side.

a²+b²=c²

5²+2²=c²

25+4=c²

29=c²

√29=c

c=5.40 ft

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