Question

What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?​

Answer 1

Answer:

14 m

Step-by-step explanation:

Given,

Area of the triangle

$= {105m}^{2}$

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

$= > \frac{1}{2} \times base \times height = 105$

• (On putting values)

$= > \frac{1}{2} \times 15 \times h = 105$

• (On putting the known values on one side)

$= > h = \frac{105 \times 2}{15}$

• (On Simplification)

=> h = 7 × 2

• (On multiplying)

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer 2

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = $105^{2}$

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

$A = \frac{h_{b}b}{2}$

Put the values in the formula

$105 = \frac{h_{b}15 }{2}$

Use MPE or Multiplication Property of Equality

210 = 15$h_{b}$

Now use DPE or Division Property of Equality

$\frac{210}{15} = \frac{15_{hb} }{15}$

14 = $h_{b}$

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 $m^{2}$