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BlackZzzverrR [31]
3 years ago
5

The longest side in a right triangle is 24 cm and the second longest side 20 cm, what is the length of the shortest side

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

Answer:

4\sqrt{11}

Step-by-step explanation:

you use the Pythagorean theorem, so the longest side is the hypotenuse and so you do 24^2 minus 20^2 to find the shortest side. you would get 176 and you square root this to get about 13.27

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Harry, regan and kelan share £450 in the ratio 2 : 5 : 3 . how much money does kelan get?​
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Answer:

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Step-by-step explanation:

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5 0
4 years ago
Find the value of x in each case. Give reasons to justify your solutions!
tangare [24]

Answer:

x=27°

Step-by-step explanation:

we know that

<u><em>The Triangle Exterior Angle Theorem</em></u>, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

step 1

Find the measure of angle PLM

we know that

m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem

we have

m∠LPM=x°

m∠PMN=2x+72°

substitute

m∠PLM+x=2x+72°

m∠PLM=2x-x+72°

m∠PLM=x+72°

step 2

Find the measure of angle x

we know that

3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)

we have

m∠PLM=x+72°  (see step 1)

substitute

3x+x+72°=180°

4x=180°-72°

4x=108°

x=27°

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Step-by-step explanation:

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