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1. a = 3 in
b = 4 in
c = 5 in
.°. s = (a + b + c)/2 = (3 + 4 + 5)/2 = 12/2 = 6 in
.°. area
= √{s(s - a)(s - b)(s - c)}
= √{6(6 - 3)(6 - 4)(6 - 5)}
= √(6 × 3 × 2 × 1)
= √(6 × 6)
= 6 sq.in
3. a = 5 in
b = 12 in
c = 13 in
.°. s = (a + b + c)/2 = (5 + 12 + 13)/2 = 30/2 = 15 in
.°. area
= √{s(s - a)(s - b)(s - c)}
= √{15(15 - 5)(15 - 12)(15 - 13)}
= √(15 × 10 × 3 × 2)
= √(5 × 3 × 2 × 5 × 3 × 2)
= 5 × 3 × 2
= 30 sq.in
4. b = 6 in
h = 7 in
.°. area
= 1/2 × b × h
= 1/2 × 6 × 7
= 21 sq.in
5. Base, b = 20 cm
Area = 60 cm²
=> 1/2 × b × h = 60
=> 1/2 × 20 × h = 60
=> 10 × h = 60
=> h = 60/10
.°. h = 6 cm
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