asked 47.6k views
1 vote
A b and c form a triangle where bac is 90°. AB=9.1mm and CA=12.5mm. Find the length of bc giving your answer rounded to 1dp.

asked
User Gilbou
by
7.4k points

1 Answer

6 votes

Final answer:

To find the length of BC, you can use the Pythagorean theorem in triangle BAC. The length of BC is approximately 15.5 mm.

Step-by-step explanation:

To find the length of BC, we can use the Pythagorean theorem in triangle BAC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So, in this case, we have:

BC^2 = AB^2 + AC^2

Plugging in the given values, we get:

BC^2 = 9.1^2 + 12.5^2

BC^2 = 82.81 + 156.25

BC^2 = 239.06

Taking the square root of both sides, we find that:

BC = √239.06

BC ≈ 15.5 mm (rounded to 1 decimal place)

answered
User JAMZAD
by
8.7k points
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