Question

Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units. The larger triangle's longest side is 52 units. What is the perimeter of the larger triangle?

Answer 1

Answer:

117

Step-by-step explanation:

Answer 2

Answer:

117 units

Step-by-step explanation:

if you use the ratio of the two longest sides then you can find all side lengths

$\frac{52}{20}$ = $\frac{x}{10}$;    x = half of 52, or 26

$\frac{52}{20}$ = $\frac{x}{15}$;    20x = 52 · 15

              20x = 780

               x = 39

add to get perimeter: 52 + 26 + 39 = 117 units