Question

if the area of the triangle is 294 CM square and its largest side is 35 cm find the altitude corresponding to the largest side​

Answer 1

Answer:

answer · 71 votes

Answer:Area of triangle = 294 cm²Length of altitude on hypotenuse = 16.8 cm Explanation:Given three sides of the triangle,Let, AB = 28 cm, BC = 21 cm, ... More

Answer 2

Sides of the triangle are a=42,b=34,c=20

According to Hero's formula,

Area of the triangle, A=

s(s−a)(s−b)(s−c)

Where s=

2

a+b+c

=

2

42+34+20

=48

Now,

A=

48(48−42)(48−34)(48−20)

A=

48(6)(14)(28)

A=

(6×8)(6)(14)(14×2)

A=14×6×4

A=336cm

2

Let the height corresponding to longest side (42cm) is h

Area =

2

1

×base×height

2

1

×42×h=336

h=

42

336×2

=16 cm