Answer:
Explanation:
The triangles are similar so the sides are proportional.
It is important to match the sides correctly.
Triangle PQR is similar to Triangle STU
So the sides PQ similar to ST
QR similar to TU
PR similar to SU.
We are given one side in the smaller triangle SU which is 6.
SU matches to PR - if you divide PR by SU - 21 ÷ 6 = 3.5
So the sides of the smaller triangle are 3.5 times smaller
PQ = 14 then divide by 3.5 to get ST = 4
QR = 28 then divide by 3.5 to get TU = 8
The angles are much easier.
Similar triangles have the same angle measurement.
Find the corresponding angles.
To find ∠Q - add angles P and R and subtract from 180°.
All triangles interior angles add to 180°.
180 - (70 + 46) = 180 - 116 = 64°
Match up the corresponding angles:
∠S = 70°, ∠T = 64°, ∠U = 46°
SU = 6 ST = 4 TU = 8