Page 85 - Steady Mate Tg1 - Book A

Matematik Tingkatan 1 Bab 13 Teorem Pythagoras

C Cari nilai x bagi setiap segi tiga bersudut tegak yang berikut. TP 3 ARAS R
Find the value of x in each of the following right-angled triangles.

Contoh 1. 2.
x cm x cm
12 cm
x cm 8 cm
3 cm
6 cm 16 cm
4 cm 2 2 2 2 2 2
x = 6 + 8 x = 12 + 16
x = 3 + 4 2 = 36 + 64 = 144 + 256
2
2
= 9 + 16 = 100 = 400
= 25
x = 100 x = 400
x = 25 = 10 = 20
= 5

D Cari nilai y bagi setiap segi tiga bersudut tegak yang berikut. Berikan jawapan kepada dua tempat perpuluhan jika
perlu. TP 3 ARAS R
Find the value of y in each of the following right-angled triangles. Give your answer in two decimal places if necessary.

Contoh 1. 26 cm 2.

12 cm
y cm 24 cm y cm
5 cm y cm
8 cm
2
2
2
2
13 cm 26 = y + 24 2 12 = y + 8 2
2
2
y = 26 – 24 2 y = 12 – 8 2
2
2
13 = y + 5 2 = 676 – 576
2
2
2
2
y = 13 – 5 2 = 100 = 144 – 64
= 169 – 25 = 80
= 144 y = 100 y = 80
y = 144 = 12 = 10 = 8.94
E Hitung nilai x dan y dalam setiap rajah berikut. Berikan jawapan dalam dua tempat perpuluhan jika perlu. TP 3
Calculate the values of x and y in each of the following diagrams. Give your answer in two decimal places if necessary. ARAS S
Contoh 1. P
P 17 cm
8 cm Q
10 cm x cm
20 cm x cm S R
y cm
24 cm
y cm
Q R 9 cm S
16 cm T
Dalam / In ΔPRQ Dalam / In ΔQTS
Dalam / In ΔPQS Dalam / In ΔPRS x = 17 – 8 2 QS = 15 + 10
2
2
2
2
2
2
x = 20 – 16 2 y = 9 + 12 2 = 289 – 64 = 25 cm
= 400 – 256 = 81 + 144 = 225 2 2 2
= 144 = 225 y = 25 – 24
x = 225 = 625 – 576
x = 144 y = 225 = 15 = 49
= 12 = 15
y = 49 = 7
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