Question

What is the area of triangle HIJ?

Answer 1

22 units²

Explanation:

HI or base = 4 units

JH or height = 11 units

Area of triangle is bh/2

4x11 = 44/2 = 22

Answer 2

22 sq. units.

Explanation:

To Find:

• Area of triangle HIJ.

Solution:

Given,

Coordinates of point H (7, -4)

Coordinates of point J (-4, -4)

Coordinates of point I (7, -8)

Also, from the given diagram it can be inferred that it is a right-angled triangle.

Here,

Length of side HJ is = 7 units + 4 units = 11 units [Base]

Length of side HI is = 8 units - 4 units = 4 units [Height]

So,

By Pythagoras Theorem, length of side JI is,

=
`\sqrt{11^(2) +4^(2) }`

=
`√(121 + 16)`

=
`√(137)` = 11.7 (approx.) units [Hypotenuse]

Then,

Area of the triangle HIJ will be,

=
`(1)/(2)` × Base × Height

=
`(1)/(2)` × 11 units × 4 units

= 22 sq. units

Hence,

The required area of the triangle is 22 sq. units. (Ans)