A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters. What is the area of the shaded region?
Options :
21 mm2
24 mm2
42 mm2
48 mm2
24mm^2
Step-by-step explanation:
Given the following :
Side length of larger triangle:
Base = 5mm
Height = 12mm
Side length of smaller triangle :
Base = 4mm
Height = 3mm
Area of triangle :
0.5 × base × height
Area of larger triangle :
0.5 × 12mm × 5mm = 30mm^2
Area of smaller triangle :
0.5 × 4mm × 3mm = 6mm^2
Area of shaded region :
(Area of larger triangle - Area of smaller triangle)
(30mm^2 - 6mm^2) = 24mm^2
2/3x + 7 = 29
step-by-step explanation:
two thirds = 2/3
plus a number = x
at least 29 = 29
there for you should get 2/3x + 7 = 29
isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?
a^2 + b^2 = c^2
let c = distance from starting point.
(3)^2 + (5)^2 = c^2
9 + 25 = c^2
34 = c^2
sqrt{34} = sqrt{c^2}
sqrt{34} = c