You can add or multiply regardless of how the numbers are grouped.
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) <em>x</em> = 48 √2
(2) 88 = √2 <em>x</em> → <em>x</em> = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for <em>x</em> in each case:
(1) cos(45°) = 48 / <em>x</em> → <em>x</em> = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = <em>x</em> / 88 → <em>x</em> = 88 cos(45°) = 88 (1 / √2) = 44 √2
Answer:
1.
(a)input:9, output:8&12
(b)input:14,output:3&13
(c)input:7&20,output:50
2.
(a)input:7&6,output:18
(b)input:9&8,output:12
(c)input:14&26,output:0.5
3.
(a)+3
(b)÷3
(c)x7