Find the area of this isosceles triangle.
Pythagoras’ theorem

Step-by-step explanation:

first you have to divide 16/2 so you can do pythagorus to solve for the height.

16/2=8

√17^2-8^2=15cm - by adding the root symbol we can skip a step.

1/2x16x15=120cm^2

120 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = bh ( b is the base and h the height )

We require to calculate h

The segment from the vertex to the base is a perpendicular bisector.

This divides the triangle into 2 right triangles, with legs 8 and h and hypotenuse 17.

Using Pythagoras' identity on the left right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = = 15, thus

A = 0.5 × 16 × 15 = 8 × 15 = 120 cm²

answer: 140

step-by-step explanation:

so just add all then it will be your answer but i am not pretty sur eif it is but hope this i am here to people

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841