Question

Consider an isosceles triangle with base of length 18 and height of length 16. Divide this triangle into several polygonal pieces from which a square of side 12 can be assembled (use 1 cm as a unit).

Answer 1

Giren: Isosceles triangle with base 18cm cod hersht 16 cm Divide this gle nb polygon's in which one is Square of sicle 12cm. s 152 16 cm ABC is sosceles rangle with Base BC = 18cm - height Am = 16 cm s 12cm 180m Here the square PORS whose each of size 12cm (PR= QR = RS - Sp=12cm) The other polygon's { 3 triangles y ane PSB, PRC and APQ. fere PSB i light hoogle siangle : 15 =90° win B5=3cm and Ps=12cm - PB² = ps²7 35². ( By pythogonsthm) PB? - 12432 = 144+9= 153 PB = V1537 ularly for QRC, B = 90°, RC=31m, GRE120m >> QC = V153] In triangle! APG, PG=12cm agem AP-AQ role ANCIzc An=4cm, pre=6cm is APN .: AP² - 4²76²-16 +36=52 wm 90 AP=852 = AQ.

.: The isosceles triangle ABC divided into a Squane Pars of side 12cm, a Noceles. briangle Apa with side PQ=12cm APC AR-152 (m. Two Similar siangles PBS & QcR wm sider 12,3, 8153 .