Given that a = 10 cm and b = 13 cm, work out the height of the triangle.
1 answer:
The Pythagorean theorem is also known as the Pythagoras' theorem. The height of the triangle is 12cm.
<h3>What is Pythagoras theorem?</h3>The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given a=10cm and b=13cm, therefore, the height of the triangle can be found using the Pythagoras theorem, therefore,
AB² = AD² + BD²
13² = AD² + 5²
169 = AD² + 25
AD = 12cm
Hence, the height of the triangle is 12cm.
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Answer:
Step-by-step explanation:
Given that special deck of cards has 20 cards. Nine are green, seven are blue, and four are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin
A) Sample space will have Green, Head, or Green, Tail .... Red, head, red, tail
No of elements in sample space = no of colours x no of outcomes in coin toss
= 4x2 = 8
B) A= getting (RT)
P(A) = Prob of getting red card and tail on coin
= P (R) *P(T)
=
C) B be the event that a green or blue is picked, followed by landing a tail on the coin toss
B = getting green card and tail
Getting green card tail is mutally exclusive with red card and tail as there is no common element between green and blue.
D) C= red or green card is picked followed by tail.
Here A and C have a common element as getting red and tail. So not mutually exclusive