Question

find the area of a triangle whose sides are 8cm 15cm and 17cm
When altitude from opp vertex to the side of length is 15

Answer 1

here is your answer ✔ ✔ ✔ ✔

sides of a triangle are 8 cm , 15 cm , 17 cm

by using heron's formula

semi perimeter of the triangle =

8 + 15 + 17 / 2
= 40 /2
= 20 cm

now , s = 20 cm

using this formula
$\sqrt{s \times (s - a)(s - b)(s - c)}$
$\sqrt{20 \times (20 - 8)(20 - 15)(20 - 17)}$
$\sqrt{20 \times 12 \times 5 \times 3}$
$\sqrt{2 \times 2 \times 5 \times 2 \times 2 \times 3 \times 5 \times 3}$
$2 \times 2 \times 3 \times 5$
60 cm

Area of the triangle = 60 cm

Area of the triangle = 1/2 × Base × height

60 = 1/2 × 15 × height

60 × 2 /15 = height

120 / 15 = height

8 cm = height