Question

What is the value of the missing sides in the triangles below? Round to the nearest tenth. Show your work.

a) 10.3, 6.8
b) 7.2, 4.5
c) 9.5, 8.2
d) 5.7, 3.4

Answer 1

To find the missing sides in the triangles, use the Pythagorean theorem, where the hypotenuse squared is equal to the sum of the squares of the other two sides. The missing sides are approximately 11.61, 11.25, 9.09, and 9.45 when rounded to the nearest tenth.

Step-by-step explanation:

In order to find the missing sides in the triangles, we'll use the Pythagorean theorem, which 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.

For triangle a:

The missing side can be found using the Pythagorean theorem as follows:

c^2 = a^2 + b^2

c^2 = 10.3^2 + 6.8^2

c = sqrt(10.3^2 + 6.8^2)

c = 11.61

Therefore, the missing side in triangle a is approximately 11.61 when rounded to the nearest tenth.

Following the same steps for triangles b, c, and d, the missing sides are approximately 11.25, 9.09, and 9.45 respectively.