Length of base of isosceles triangle, x = 7
Step-by-step explanation:
- Step 1: Given base of isosceles triangle, x = 7 and perimeter = 41
Length of one leg = 3x - 4. Since two sides, other than the base of an isosceles triangle are equal, the length of the other leg = 3x - 4.
- Step 2: Formula for perimeter of triangle = length of sides
- Step 3: Substitute values of sides in the formula
⇒ 41 = x + (3x - 4) + (3x - 4) = x + 2(3x - 4)
⇒ 41 = x + 6x - 8
⇒ 41 = 7x - 8
⇒ 49 = 7x
⇒ x = 7
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Answer:
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Answer: B
Step-by-step explanation:
Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 and 13 by 15 and 2 triangles with legs 5 inches and 12 inches.
The correct net is net a.
Surface area = sum of areas of the three rectangles and sum of the two triangles.
SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.