Question

how do you work out HI if there isn’t something to times it by?

Answer 1

Find the relationship between the two triangles. It’s 3.5 so you can use the Pythagorean theorem (sorry I forgot how to spell it)
A^2 + B^2= C^2
15^2 +8^2= C^2
225+64= C^2
289=C^2
C= 17
Then since they are similar triangles, multiply 17 by 3.5 and you get 59.5
That’s the answer!!

Answer 2

DEF is a right triangle

so EF^2 = 15^2 + 8^ = 225 + 64 =289

EF = √289

EF= 17 cm

Both triangles are similar

2/28 = 17/HI

HI = 28 * 17 / 8

HI = 476 / 8

HI = 59.5 cm

Answer

HI = 59.5 cm