Question

Find the height of a triangle having base 16 cm and area 72 cm²​

Answer 1

Answer:

Height = 9 cm

Step-by-step explanation:

Area of triangle = \frac{1}{2} \times Base\times Height

2

1

×Base×Height

Area of triangle = 72 square cm

Base = 16 cm

Substitute the values in the formula to find the length of Height.

72=\frac{1}{2} \times 16 \times Height72=

2

1

×16×Height

\frac{72 \times 2}{16}=Height

16

72×2

=Height

9=Height9=Height

Hence the Height is 9 cm.

Answer 2

GiveN :

• $\sf \: Area \: of \: the \: triangle = {72cm}^{2}$
• $\sf \: base \: = 16cm$

To FinD :

• $\sf \: height \: of \: the \: triangle$

SolutioN :

$\sf \boxed{\sf Area \: of \: the \: triangle = \frac{1}{2} \times h \times b }$

$\sf \: Area \: given = {72cm}^{2}$

$\sf 72= \frac{1}{2} \times h \times 16 \\ \\ \sf = h = \frac{72 \times 2}{16} \\ \\ \sf = h = \frac{ \cancel{144}}{ \cancel{16} } = 9cm$

$\boxed { \sf \large\pink {height = 9cm}}$