Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU =
≈ 12.96 ( to the nearest hundredth )
You need to expand the brackets eg.
(w-9)8 basically means 8 x (w-9) = 8w-72
True
using the converse of Pythagoras' identity
Given 3 sides of a triangle, if the longest side squared is equal to the sum of the squares of the other 2 sides then triangle is right.
longest side squared = 26² = 676
sum of other 2 sides squared = 24² + 10² = 576 + 100 = 676
Hence triangle is right
The answer is 53/6 in fraction form