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3 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

Answer:

Step-by-step explanation:

${8}^{2} = {x}^{2} + { 3}^{2} \\ {x}^{2} = {8}^{2} - {3}^{2} \\ {x}^{2} = 64 - 9 \\ x = \sqrt{55} = 7.416$

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Find the length of the unknown side. 25 cm 15 cm

AleksandrR [38]

Answer:

b = 20 cm.

Step-by-step explanation:

Define and explain:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

Solve:

$a^2+b^2=c^2$

$a,b-legs$

$c-hypotenuse$

$15^2+b^2=25^2$

$225+b^2=625$

$625-225=400$

$b^2=400$

$b=20$

Conclude:

Therefore, the length of the unknown side is 20 centimeters.

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3 years ago

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laila [671]

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SSSSS [86.1K]

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