Find the height of the triangle whose base is 5/7 th of its height and whose area is 18.207 cm².

Find the height of the triangle whose base is 5/7 th of…

Find the height of the triangle whose base is $\frac{5}{7}$ th of its height and whose area is 18.207 cm².

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 7.14 cm.

We know that

Area of triangle = 1/2 × base × height

Given,

⇒ Base = 5/7 × height

On putting the values

⇒ 18.207 = 1/2 × (5/7 height) × h

⇒ 18.207 = 1/2 × 5h²/7

⇒ (18.207 × 2 × 7) = 5h²

⇒ h² = (18.207 × 2 × 7)/5

⇒ h² = 50.9796

⇒ h = 7.14 cm approx

Thus, the height of the triangle is 7.14 cm approximately