Question

8. Find the height of a triangle having an area of 72 cm and base 16 cm.
​

Answer 1

Answer:

Step-by-step explanation:

Area of the triangle = 72 cm²

Base of the triangle = 16 cm.

We know, Area of a triangle = ½×base×height.

Height of the triangle = 2(Area)/ Base = 2×72/16 = 9 cm.

Verification:

16×9/2= 72 cm².

Hope it helps! Please mark this answer as brainliest.

Answer 2

AnswEr-:

• $\boxed{\sf{Height\: of\: Triangle \: is\:9 cm }}$

Explanation-:

$\underline{\mathrm{Given\:-: }}$

• Area of Triangle is 72 cm² .

• Base of a Triangle is 16 cm.

$\underline{\mathrm{To\:Find-: }}$

• Height of Triangle.

$\dag{\mathrm{Solution \:of\:Question-: }}$

• $\underbrace {\sf{Understanding \:The\:Concept \:-:\:}}$

• We have to find the Height of the triangle whose Area and Base is given .

• For this we have to put the known Values in Formula of Area of Triangle and then, we can get the Height of Triangle .

◇ As We know That -:

• $\underline{\boxed{\star{\sf{\purple{Area \:of \:Triangle \:-:\:\dfrac{1}{2}\times Base \times Height \:sq.\:units}}}}}$

$\underline{\mathrm{Here\:-: }}$

• Area of Triangle is 72 cm² .

• Base of a Triangle is 16 cm.

$\underline{\mathrm{Now,\: Putting \:known\:values=\:-: }}$

• $\longrightarrow {\sf{\dfrac{1}{2} \times 16 \times Height = 72cm^{2} }}$

• $\longrightarrow {\sf{\dfrac{1}{\cancel{2}} \times \cancel {16} \times Height = 72cm^{2} }}$

• $\longrightarrow {\sf{ 8 \times Height = 72 cm^{2}}}$

• $\longrightarrow {\sf{Height= \dfrac {72}{8} }}$

• $\longrightarrow {\sf{Height= \dfrac {\cancel {72}}{\cancel {8}} }}$

• $\longrightarrow {\sf{Height= 9 cm }}$

$\underline{\mathrm{Therefore -: }}$

• $\boxed{\sf{Height\: of\: Triangle \: is\:9 cm }}$

_______________________________________

• $\huge{\mathrm{Verification ♡\:-: }}$

• $\underline{\boxed{\star{\sf{\purple{Area \:of \:Triangle \:-:\:\dfrac{1}{2}\times Base \times Height \:sq.\:units}}}}}$

• $\underline{\mathrm{Here\:-: }}$
• Area of Triangle is 72 cm² .

• Base of a Triangle is 16 cm.

• Height of Triangle is 9 cm

$\underline{\mathrm{Now,\: Putting \:known\:values\:in\:Formula=\: }}$

• $\longrightarrow {\sf{\dfrac{1}{2} \times 16 \times 9 = 72cm^{2} }}$

• $\longrightarrow {\sf{\dfrac{1}{\cancel{2}} \times \cancel {16} \times 9 = 72cm^{2} }}$

• $\longrightarrow {\sf{8 \times 9 = 72cm^{2} }}$

• $\longrightarrow {\sf{72cm^{2} = 72cm^{2} }}$

Therefore,

• $\underline{\mathrm{LHS=\:RHS }}$

• $\underline{\mathrm{Hence, \: Verified }}$

____________________♡________________________