The sides of a triangle are of lengths 8cm, 15cm and 17cm. find area and the length of the altitude drawn on the side with length 17cm.
yashvigupta345:
Is this question from the chapter Heron's Formula??
Answers
Answered by
4
Area of triangle=√s(s-a)(s-b)(s-c)
=√40(40-15)(40-17)(40-8)
=√40×25×23×32
=√(2×2)×2×5 × (5×5) × 23 × (2×2)×(2×2)×2
=2×2×2×5√5×(2×2)×23
=2×2×2×2×5√5×23
=80√115 cm²
Base=17 cm
Area of triangle= base×height
80√115=17×h
h=80√115/17
h=50.46 cm
Similar questions