Consider the enlargement of a triangle that has a scale factor of 7.5. A small triangle has a base of 5 centimeters and height o

Question

3 years ago

3

Consider the enlargement of a triangle that has a scale factor of 7.5. A small triangle has a base of 5 centimeters and height o

f 2 centimeters. A larger triangle has a base of b and height of a. Area Original = 1 2 (5)(2) = 5 cm2 What is the area of the enlarged triangle? cm2

Mathematics

2 answers:

aleksklad [387] · Answer 1 · 2022-05-17T07:09:08+03:00

aleksklad [387]3 years ago

8 0

Answer:

281.25

Step-by-step explanation:

lisov135 [29] · Answer 2 · 2022-05-17T05:29:29+03:00

Answer:

b=37.5cm

h=15cm

A=281.25

Step-by-step explanation:

The scale factor will represent how many times bigger the base and the height of the triangle are com that of the smaller triangle. So in order to find these transformations, we need to multiply the scale factor of 7.5 by both the base and the height.

b=7.5(5cm)=37.5cm

h=7.5(2cm)=15cm

so now we can find the area of the enlarged triangle by using the formula:

$A_{triangle}=\frac{bh}{2}$

$A=\frac{(37.5cm)(15cm)}{2}$

$A=281.25 cm^{2}$