Question

ABC is a right-angled triangle.
Calculate the length of BC.
Give your answer correct to 1 decimal place.

Answer 1

Answer:

14.5

Step-by-step explanation:

The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2

256 - 44.89 = 211.11

The square root of 211.11 rounded to the first decimal place is 14.5

Answer 2

The length of BC is 14.5 cm

What is Pythagoras theorem?

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given

AB = 6.7 cm

AC = 16 cm

According to the Pythagoras theorem of triangles

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

$AB^{2} +BC^{2} =AC^{2}$

$BC^{2} =AC^{2} -AB^{2}$

$BC ^{2} =16^{2}-(6.7)^{2}$

$BC = \sqrt{16^{2} -(6.7)^{2} }$

BC = 14.5 cm

Hence, the length of BC is 14.5 cm

Find out more information about Pythagoras theorem here

https://brainly.com/question/343682

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