Question

Allie created a garden in the shape of a right triangle. Which set of measurements could represent the lengths of the sides of her garden (G.8a) (1point) O A. lin, 5 in, and 6 in. O B. 6m., 8 m., and 10 m. O C. 9 cm, 9cm, and 9 cm O D. 3 ft 3 ft, and 4 ft

Answer 1

Options B, C and D represent sets of measurements that could be for the sides of Allie's triangle garden.

Step-by-step explanation

If the three sides in a triangle are a, b and c with c being the longest side.

But, it should be noted that if the longest side is equal to or more than the sum of the two sides, c ≥ a + b, the triangle is not possible.

Option A

1 in, 5 in and 6 in

a = 1 in

b = 5 in

c = 6 in

a + b = 1 + 5 = 6

6 = 6

c = a + b

Hence, this set of sides is not possible.

Option B

6 m, 8 m and 10m

a = 6 m

b = 8 m

c = 10 m

a + b = 6 + 8 = 14 m

c = 10 m

10 < 14

c < a + b

This set of sides form a possible triangle

Option C

9 cm, 9 cm and 9 cm

a = 9 cm

b = 9 cm

c = 9 cm

a + b = 9 + 9 = 18 cm

c = 9 cm

9 < 18

c < a + b

This set of sides form a possible triangle

Option D

3ft, 3 ft and 4 ft

a = 3 ft

b = 3 ft

c = 4 ft

a + b = 3 + 3 = 6 ft

c = 4 ft

4 < 5

c < a + b

This set of sides form a possible triangle

Hope this Helps!!!