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Reika [66]
3 years ago
14

Is this set of numbers a Pythagorean triple? yes or no

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

<u>Answer</u>:- No.

<u>Explanation</u> :-

<u>Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.</u>

<u>Pythagoras theorem</u> :- sq. of hypotenuse (longest side) is equal to the sum of sq.s of other two sides.

<u>Here</u>,

hypotenuse = 12 (as it is the longest side)

and other two sides are 6 and 9.

----> 6^2 + 9^2 = 12^2

----> 36 + 81 = 144

----> 117 = 144

Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.

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A bank exchanges United States currency for British courrency at the rate of 1.60 dollars to the £ .
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Let p =Vector F G where F(0, 5) and G(–4, –3). What is the direction angle of Negative three-halves p?
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Prove that the product of a nonzero rational number together with an irrational number is an irrational number.
melamori03 [73]
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7 0
3 years ago
NO ONE EVER ANSWERS MY QUESTIONS I NEED HELP PLEASE!!! 2 problems Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM. a
almond37 [142]

To solve this problem we will use sinus theorem.

It's general form is

a/sinα = b/sinβ = c/sinγ  

In this case it reads ML/sin∡K = KL/sin∡M = KM/sin∡L  =>

ML/sin∡K = KL/sin∡M  =>  12/sin60° = KL/sin45° => 12/(√3/2) = KL/(√2/2) =>

2*12/√3 = 2*KL/√2 => We will divide whole equation with number 2 and get

12/√3=KL/√2 => KL*√3=12√2 => KL=(12√2)/√3

When we rationalize denominator we get  KL=4√6≈ 4*2.45= 9.8

Considering that we know two angles we will calculate the third

∡K+∡M+∡L=180° => 60°+45°+∡L=180° => ∡L= 180-105=75°

Reason- The theorem of the sum of the inner angles of the triangle

ML/sin∡K=KM/sin∡L => 12/sin60°=KM/sin75°

We will calculate  sin75° = sin (30+45)= sin30 *cos45+cos30*sin45 =>

sin75°= 1/2 * √2/2 = √3/2 * √2/2= √2/4 *(√3+1)≈(1.41/4)*(1.73+1)=0.96

12/(√3/2)=KM/0.96 => 12*2/√3=KM/0.96 => 13.87=KM/0.96 =>

KM=13.87*0.96= 13.31

Perimeter of ΔKLM => P=KL+ML+KM= 12+9.8+13.31= 35.11

In the same way you can calculate perimeter of ΔMNO.

Good luck!!!


4 0
3 years ago
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