Question

(c) can these be the side lengths of a triangle?
15 m, 7 m, 7 m
○ yes
triangles with these measurements select
○ no
(d) can these be the angle measures of a triangle?
42°, 58°, 34°
○ yes
triangles with these measurements select
○ no

Explanation:

Step1: Check triangle inequality (part c)

Sum of two shorter sides: $7 + 7 = 14$
Compare to longest side: $14 < 15$

Step2: Conclude for side lengths (part c)

Since $7+7
ot> 15$, the triangle inequality fails.

Step3: Sum angles (part d)

Calculate total angle measure: $42^\circ + 58^\circ + 34^\circ = 134^\circ$

Step4: Conclude for angles (part d)

Triangle angles must sum to $180^\circ$, $134^\circ
eq 180^\circ$.

Answer:

(c) No
(d) No