Answer :
Answer:
For all of these triangles apply the formula;
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.
1.
Base = 9.1
Height = 31.2
Plug into formula:
A = BH x 1/2
A = 9.1(31.2) x 1/2
A = 283.92 x 1/2
A = 283.92/2
A = 141.96 square centimetres.
2.
Base = 5
Height = 3 3/4 which can be considered 3.75
Plug into formula:
A = BH x 1/2
A = 5(3.75) x 1/2
A = 18.75 x 1/2
A = 18.75/2
A = 9.375 square kilometres.
3.
Base = 2.4
Height = 3.2
Plug into formula:
A = BH x 1/2
A = 2.4(3.2) x 1/2
A = 7.68 x 1/2
A = 7.68/2
A = 3.84 square inches.
4.
Base = 11
Height = 60
Plug into formula:
A = BH x 1/2
A = 11(60) x 1/2
A = 660 x 1/2
A = 660/2
A = 330 square millimetres.
5.
Base = 10
Height = 13 1/2 which can be considered 13.5
Plug into formula:
A = BH x 1/2
A = 10(13.5) x 1/2
A = 135 x 1/2
A = 135/2
A = 67.5 square feet.
Answer:
1. 141.96 cm²
2. 9⅜ km²
3. 3.84 in
4. 10.39mm
5. 66.67 ft
Step-by-step explanation:
Formula of Area of Triangle : ½ × base × height
1. = ½ × 9.1 × 31.2
= 9.1 × 15.6
= 141.96 cm²
2. = ½ × 3¾ × 5
= ½ × 15/4 × 5
= 15/8 × 5
= 75/8 = 9⅜ km²
3. = ½ × 3.2 × 2.4
= 3.84 in
4. = tan c = AB/BC
c = tan -¹ (AB/BC)
c = tan -¹ (60/11)
c = 79.61
A = 90 - 79.61 = 10.39mm
5. = ½ × 13⅓ × 10ft
= 66.666 ≈ 66.67 ft
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