Question

if triangle ABC is similar to triangle DEF BC=4cm, EF=5cm and area of triangle ABC=80cm square then area of triangle DEF is​

Answer 1

Answer:

$\boxed{\underline{\Huge{\mathtt{125\:cm^2}}}}$

Step-by-step explanation:

$\text{Given:}\\\triangle\text{ABC}\sim\triangle\text{DE}\text{F}$

$\therefore \dfrac{\text{ar ABC}}{\text{ar DE}\text{F}} = \bigg(\dfrac{AB}{DE}}\bigg)^2=\bigg(\dfrac{BC}{EF}}\bigg)^2=\bigg(\dfrac{CE}{FD}}\bigg)^2\\\\\implies \dfrac{\text{ar ABC}}{\text{ar DE}\text{F}}=\bigg(\dfrac{BC}{EF}}\bigg)^2\\\\\implies \dfrac{80}{\text{ar DE}\text{F}} = \bigg(\dfrac{4}{5}}\bigg)^2 = \dfrac{16}{25}}\\\\\implies \text{ar DE}\text{F} = \dfrac{25\times 80}{16} = \dfrac{25\times5}{1}=\underline{\text{125 cm}^2}$

Answer 2

Answer:

125

Step-by-step explanation: